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Finding the Third Proportional to 186,507 and 402,498

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Solution

The third proportional to 186,507 and 402,498 is: 868,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,507 : 402,498 = 402,498 : x
  2. Step 2: Convert to fraction form
    186,507/402,498 = 402,498/x
  3. Step 3: Cross multiply
    186,507x = 402,498 × 402,498
  4. Step 4: Simplify right side
    186,507x = 162,004,640,004
  5. Step 5: Solve for x
    x = 162,004,640,004/186,507
  6. Step 6: Final answer
    x = 868,624.98

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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.