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Finding the Third Proportional to 153,000.75 and 237,493.13

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Solution

The third proportional to 153,000.75 and 237,493.13 is: 368,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,000.75 : 237,493.13 = 237,493.13 : x
  2. Step 2: Convert to fraction form
    153,000.75/237,493.13 = 237,493.13/x
  3. Step 3: Cross multiply
    153,000.75x = 237,493.13 × 237,493.13
  4. Step 4: Simplify right side
    153,000.75x = 56,402,984,422.27
  5. Step 5: Solve for x
    x = 56,402,984,422.27/153,000.75
  6. Step 6: Final answer
    x = 368,645.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.