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Finding the Third Proportional to 147,594 and 230,607

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Solution

The third proportional to 147,594 and 230,607 is: 360,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,594 : 230,607 = 230,607 : x
  2. Step 2: Convert to fraction form
    147,594/230,607 = 230,607/x
  3. Step 3: Cross multiply
    147,594x = 230,607 × 230,607
  4. Step 4: Simplify right side
    147,594x = 53,179,588,449
  5. Step 5: Solve for x
    x = 53,179,588,449/147,594
  6. Step 6: Final answer
    x = 360,309.96

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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.