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Finding the Third Proportional to 225,142 and 356,506

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Solution

The third proportional to 225,142 and 356,506 is: 564,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,142 : 356,506 = 356,506 : x
  2. Step 2: Convert to fraction form
    225,142/356,506 = 356,506/x
  3. Step 3: Cross multiply
    225,142x = 356,506 × 356,506
  4. Step 4: Simplify right side
    225,142x = 127,096,528,036
  5. Step 5: Solve for x
    x = 127,096,528,036/225,142
  6. Step 6: Final answer
    x = 564,517.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.