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Finding the Third Proportional to 153,029 and 237,536

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Solution

The third proportional to 153,029 and 237,536 is: 368,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,029 : 237,536 = 237,536 : x
  2. Step 2: Convert to fraction form
    153,029/237,536 = 237,536/x
  3. Step 3: Cross multiply
    153,029x = 237,536 × 237,536
  4. Step 4: Simplify right side
    153,029x = 56,423,351,296
  5. Step 5: Solve for x
    x = 56,423,351,296/153,029
  6. Step 6: Final answer
    x = 368,710.19

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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.