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Finding the Third Proportional to 186,904 and 403,952

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Solution

The third proportional to 186,904 and 403,952 is: 873,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,904 : 403,952 = 403,952 : x
  2. Step 2: Convert to fraction form
    186,904/403,952 = 403,952/x
  3. Step 3: Cross multiply
    186,904x = 403,952 × 403,952
  4. Step 4: Simplify right side
    186,904x = 163,177,218,304
  5. Step 5: Solve for x
    x = 163,177,218,304/186,904
  6. Step 6: Final answer
    x = 873,053.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.