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Finding the Third Proportional to 186,271.13 and 404,952.38

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Solution

The third proportional to 186,271.13 and 404,952.38 is: 880,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,271.13 : 404,952.38 = 404,952.38 : x
  2. Step 2: Convert to fraction form
    186,271.13/404,952.38 = 404,952.38/x
  3. Step 3: Cross multiply
    186,271.13x = 404,952.38 × 404,952.38
  4. Step 4: Simplify right side
    186,271.13x = 163,986,426,018.14
  5. Step 5: Solve for x
    x = 163,986,426,018.14/186,271.13
  6. Step 6: Final answer
    x = 880,364.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.