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Finding the Third Proportional to 147,545 and 223,074

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Solution

The third proportional to 147,545 and 223,074 is: 337,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,545 : 223,074 = 223,074 : x
  2. Step 2: Convert to fraction form
    147,545/223,074 = 223,074/x
  3. Step 3: Cross multiply
    147,545x = 223,074 × 223,074
  4. Step 4: Simplify right side
    147,545x = 49,762,009,476
  5. Step 5: Solve for x
    x = 49,762,009,476/147,545
  6. Step 6: Final answer
    x = 337,266.66

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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.