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Finding the Third Proportional to 147,349.13 and 221,752.69

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Solution

The third proportional to 147,349.13 and 221,752.69 is: 333,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,349.13 : 221,752.69 = 221,752.69 : x
  2. Step 2: Convert to fraction form
    147,349.13/221,752.69 = 221,752.69/x
  3. Step 3: Cross multiply
    147,349.13x = 221,752.69 × 221,752.69
  4. Step 4: Simplify right side
    147,349.13x = 49,174,254,413.47
  5. Step 5: Solve for x
    x = 49,174,254,413.47/147,349.13
  6. Step 6: Final answer
    x = 333,726.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.