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Finding the Third Proportional to 147,484 and 226,998

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Solution

The third proportional to 147,484 and 226,998 is: 349,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,484 : 226,998 = 226,998 : x
  2. Step 2: Convert to fraction form
    147,484/226,998 = 226,998/x
  3. Step 3: Cross multiply
    147,484x = 226,998 × 226,998
  4. Step 4: Simplify right side
    147,484x = 51,528,092,004
  5. Step 5: Solve for x
    x = 51,528,092,004/147,484
  6. Step 6: Final answer
    x = 349,380.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.