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Finding the Third Proportional to 186,031.69 and 403,569.84

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Solution

The third proportional to 186,031.69 and 403,569.84 is: 875,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,031.69 : 403,569.84 = 403,569.84 : x
  2. Step 2: Convert to fraction form
    186,031.69/403,569.84 = 403,569.84/x
  3. Step 3: Cross multiply
    186,031.69x = 403,569.84 × 403,569.84
  4. Step 4: Simplify right side
    186,031.69x = 162,868,618,784.40
  5. Step 5: Solve for x
    x = 162,868,618,784.40/186,031.69
  6. Step 6: Final answer
    x = 875,488.58

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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.