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Finding the Third Proportional to 180,951 and 386,746.50

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Solution

The third proportional to 180,951 and 386,746.50 is: 826,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,951 : 386,746.50 = 386,746.50 : x
  2. Step 2: Convert to fraction form
    180,951/386,746.50 = 386,746.50/x
  3. Step 3: Cross multiply
    180,951x = 386,746.50 × 386,746.50
  4. Step 4: Simplify right side
    180,951x = 149,572,855,262.25
  5. Step 5: Solve for x
    x = 149,572,855,262.25/180,951
  6. Step 6: Final answer
    x = 826,593.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.