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Finding the Third Proportional to 157,352.50 and 237,335.50

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Solution

The third proportional to 157,352.50 and 237,335.50 is: 357,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,352.50 : 237,335.50 = 237,335.50 : x
  2. Step 2: Convert to fraction form
    157,352.50/237,335.50 = 237,335.50/x
  3. Step 3: Cross multiply
    157,352.50x = 237,335.50 × 237,335.50
  4. Step 4: Simplify right side
    157,352.50x = 56,328,139,560.25
  5. Step 5: Solve for x
    x = 56,328,139,560.25/157,352.50
  6. Step 6: Final answer
    x = 357,974.23

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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.