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Finding the Third Proportional to 151,283.50 and 205,559

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Solution

The third proportional to 151,283.50 and 205,559 is: 279,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,283.50 : 205,559 = 205,559 : x
  2. Step 2: Convert to fraction form
    151,283.50/205,559 = 205,559/x
  3. Step 3: Cross multiply
    151,283.50x = 205,559 × 205,559
  4. Step 4: Simplify right side
    151,283.50x = 42,254,502,481
  5. Step 5: Solve for x
    x = 42,254,502,481/151,283.50
  6. Step 6: Final answer
    x = 279,306.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.