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Finding the Third Proportional to 151,237.13 and 232,142.63

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Solution

The third proportional to 151,237.13 and 232,142.63 is: 356,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,237.13 : 232,142.63 = 232,142.63 : x
  2. Step 2: Convert to fraction form
    151,237.13/232,142.63 = 232,142.63/x
  3. Step 3: Cross multiply
    151,237.13x = 232,142.63 × 232,142.63
  4. Step 4: Simplify right side
    151,237.13x = 53,890,198,341.89
  5. Step 5: Solve for x
    x = 53,890,198,341.89/151,237.13
  6. Step 6: Final answer
    x = 356,329.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.