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Finding the Third Proportional to 147,929.06 and 240,336.84

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Solution

The third proportional to 147,929.06 and 240,336.84 is: 390,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,929.06 : 240,336.84 = 240,336.84 : x
  2. Step 2: Convert to fraction form
    147,929.06/240,336.84 = 240,336.84/x
  3. Step 3: Cross multiply
    147,929.06x = 240,336.84 × 240,336.84
  4. Step 4: Simplify right side
    147,929.06x = 57,761,798,463.71
  5. Step 5: Solve for x
    x = 57,761,798,463.71/147,929.06
  6. Step 6: Final answer
    x = 390,469.58

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.