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Finding the Third Proportional to 147,226 and 229,587

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Solution

The third proportional to 147,226 and 229,587 is: 358,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,226 : 229,587 = 229,587 : x
  2. Step 2: Convert to fraction form
    147,226/229,587 = 229,587/x
  3. Step 3: Cross multiply
    147,226x = 229,587 × 229,587
  4. Step 4: Simplify right side
    147,226x = 52,710,190,569
  5. Step 5: Solve for x
    x = 52,710,190,569/147,226
  6. Step 6: Final answer
    x = 358,022.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.