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Finding the Third Proportional to 157,514 and 237,556.50

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Solution

The third proportional to 157,514 and 237,556.50 is: 358,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,514 : 237,556.50 = 237,556.50 : x
  2. Step 2: Convert to fraction form
    157,514/237,556.50 = 237,556.50/x
  3. Step 3: Cross multiply
    157,514x = 237,556.50 × 237,556.50
  4. Step 4: Simplify right side
    157,514x = 56,433,090,692.25
  5. Step 5: Solve for x
    x = 56,433,090,692.25/157,514
  6. Step 6: Final answer
    x = 358,273.49

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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.