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Finding the Third Proportional to 148,564 and 230,136

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Solution

The third proportional to 148,564 and 230,136 is: 356,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,564 : 230,136 = 230,136 : x
  2. Step 2: Convert to fraction form
    148,564/230,136 = 230,136/x
  3. Step 3: Cross multiply
    148,564x = 230,136 × 230,136
  4. Step 4: Simplify right side
    148,564x = 52,962,578,496
  5. Step 5: Solve for x
    x = 52,962,578,496/148,564
  6. Step 6: Final answer
    x = 356,496.72

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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.