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Finding the Third Proportional to 148,506 and 230,157

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Solution

The third proportional to 148,506 and 230,157 is: 356,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,506 : 230,157 = 230,157 : x
  2. Step 2: Convert to fraction form
    148,506/230,157 = 230,157/x
  3. Step 3: Cross multiply
    148,506x = 230,157 × 230,157
  4. Step 4: Simplify right side
    148,506x = 52,972,244,649
  5. Step 5: Solve for x
    x = 52,972,244,649/148,506
  6. Step 6: Final answer
    x = 356,701.04

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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.