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Finding the Third Proportional to 158,028 and 240,114

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Solution

The third proportional to 158,028 and 240,114 is: 364,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,028 : 240,114 = 240,114 : x
  2. Step 2: Convert to fraction form
    158,028/240,114 = 240,114/x
  3. Step 3: Cross multiply
    158,028x = 240,114 × 240,114
  4. Step 4: Simplify right side
    158,028x = 57,654,732,996
  5. Step 5: Solve for x
    x = 57,654,732,996/158,028
  6. Step 6: Final answer
    x = 364,838.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.