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Finding the Third Proportional to 151,713 and 229,473

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Solution

The third proportional to 151,713 and 229,473 is: 347,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,713 : 229,473 = 229,473 : x
  2. Step 2: Convert to fraction form
    151,713/229,473 = 229,473/x
  3. Step 3: Cross multiply
    151,713x = 229,473 × 229,473
  4. Step 4: Simplify right side
    151,713x = 52,657,857,729
  5. Step 5: Solve for x
    x = 52,657,857,729/151,713
  6. Step 6: Final answer
    x = 347,088.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.