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Finding the Third Proportional to 175,785 and 380,730

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Solution

The third proportional to 175,785 and 380,730 is: 824,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,785 : 380,730 = 380,730 : x
  2. Step 2: Convert to fraction form
    175,785/380,730 = 380,730/x
  3. Step 3: Cross multiply
    175,785x = 380,730 × 380,730
  4. Step 4: Simplify right side
    175,785x = 144,955,332,900
  5. Step 5: Solve for x
    x = 144,955,332,900/175,785
  6. Step 6: Final answer
    x = 824,617.19

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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.