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Finding the Third Proportional to 157,831.66 and 345,187.83

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Solution

The third proportional to 157,831.66 and 345,187.83 is: 754,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,831.66 : 345,187.83 = 345,187.83 : x
  2. Step 2: Convert to fraction form
    157,831.66/345,187.83 = 345,187.83/x
  3. Step 3: Cross multiply
    157,831.66x = 345,187.83 × 345,187.83
  4. Step 4: Simplify right side
    157,831.66x = 119,154,636,685.66
  5. Step 5: Solve for x
    x = 119,154,636,685.66/157,831.66
  6. Step 6: Final answer
    x = 754,947.60

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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.