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Finding the Third Proportional to 153,040 and 237,543

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Solution

The third proportional to 153,040 and 237,543 is: 368,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,040 : 237,543 = 237,543 : x
  2. Step 2: Convert to fraction form
    153,040/237,543 = 237,543/x
  3. Step 3: Cross multiply
    153,040x = 237,543 × 237,543
  4. Step 4: Simplify right side
    153,040x = 56,426,676,849
  5. Step 5: Solve for x
    x = 56,426,676,849/153,040
  6. Step 6: Final answer
    x = 368,705.42

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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.