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Finding the Third Proportional to 186,730 and 409,742

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Solution

The third proportional to 186,730 and 409,742 is: 899,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,730 : 409,742 = 409,742 : x
  2. Step 2: Convert to fraction form
    186,730/409,742 = 409,742/x
  3. Step 3: Cross multiply
    186,730x = 409,742 × 409,742
  4. Step 4: Simplify right side
    186,730x = 167,888,506,564
  5. Step 5: Solve for x
    x = 167,888,506,564/186,730
  6. Step 6: Final answer
    x = 899,097.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.