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Finding the Third Proportional to 148,484 and 230,270

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Solution

The third proportional to 148,484 and 230,270 is: 357,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,484 : 230,270 = 230,270 : x
  2. Step 2: Convert to fraction form
    148,484/230,270 = 230,270/x
  3. Step 3: Cross multiply
    148,484x = 230,270 × 230,270
  4. Step 4: Simplify right side
    148,484x = 53,024,272,900
  5. Step 5: Solve for x
    x = 53,024,272,900/148,484
  6. Step 6: Final answer
    x = 357,104.29

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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.