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Finding the Third Proportional to 161,840.14 and 253,875.14

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Solution

The third proportional to 161,840.14 and 253,875.14 is: 398,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,840.14 : 253,875.14 = 253,875.14 : x
  2. Step 2: Convert to fraction form
    161,840.14/253,875.14 = 253,875.14/x
  3. Step 3: Cross multiply
    161,840.14x = 253,875.14 × 253,875.14
  4. Step 4: Simplify right side
    161,840.14x = 64,452,586,655.47
  5. Step 5: Solve for x
    x = 64,452,586,655.47/161,840.14
  6. Step 6: Final answer
    x = 398,248.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.