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Finding the Third Proportional to 157,731.47 and 238,479.19

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Solution

The third proportional to 157,731.47 and 238,479.19 is: 360,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,731.47 : 238,479.19 = 238,479.19 : x
  2. Step 2: Convert to fraction form
    157,731.47/238,479.19 = 238,479.19/x
  3. Step 3: Cross multiply
    157,731.47x = 238,479.19 × 238,479.19
  4. Step 4: Simplify right side
    157,731.47x = 56,872,322,870.66
  5. Step 5: Solve for x
    x = 56,872,322,870.66/157,731.47
  6. Step 6: Final answer
    x = 360,564.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.