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Finding the Third Proportional to 153,027.50 and 237,535

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Solution

The third proportional to 153,027.50 and 237,535 is: 368,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,027.50 : 237,535 = 237,535 : x
  2. Step 2: Convert to fraction form
    153,027.50/237,535 = 237,535/x
  3. Step 3: Cross multiply
    153,027.50x = 237,535 × 237,535
  4. Step 4: Simplify right side
    153,027.50x = 56,422,876,225
  5. Step 5: Solve for x
    x = 56,422,876,225/153,027.50
  6. Step 6: Final answer
    x = 368,710.70

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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.