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Finding the Third Proportional to 160,901.44 and 347,095.13

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Solution

The third proportional to 160,901.44 and 347,095.13 is: 748,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,901.44 : 347,095.13 = 347,095.13 : x
  2. Step 2: Convert to fraction form
    160,901.44/347,095.13 = 347,095.13/x
  3. Step 3: Cross multiply
    160,901.44x = 347,095.13 × 347,095.13
  4. Step 4: Simplify right side
    160,901.44x = 120,475,025,798.77
  5. Step 5: Solve for x
    x = 120,475,025,798.77/160,901.44
  6. Step 6: Final answer
    x = 748,750.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.