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Finding the Third Proportional to 186,628 and 402,716

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Solution

The third proportional to 186,628 and 402,716 is: 869,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,628 : 402,716 = 402,716 : x
  2. Step 2: Convert to fraction form
    186,628/402,716 = 402,716/x
  3. Step 3: Cross multiply
    186,628x = 402,716 × 402,716
  4. Step 4: Simplify right side
    186,628x = 162,180,176,656
  5. Step 5: Solve for x
    x = 162,180,176,656/186,628
  6. Step 6: Final answer
    x = 869,002.38

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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.