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Finding the Third Proportional to 157,351.50 and 237,332.50

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Solution

The third proportional to 157,351.50 and 237,332.50 is: 357,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,351.50 : 237,332.50 = 237,332.50 : x
  2. Step 2: Convert to fraction form
    157,351.50/237,332.50 = 237,332.50/x
  3. Step 3: Cross multiply
    157,351.50x = 237,332.50 × 237,332.50
  4. Step 4: Simplify right side
    157,351.50x = 56,326,715,556.25
  5. Step 5: Solve for x
    x = 56,326,715,556.25/157,351.50
  6. Step 6: Final answer
    x = 357,967.45

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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.