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Finding the Third Proportional to 147,827.53 and 247,267.69

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Solution

The third proportional to 147,827.53 and 247,267.69 is: 413,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,827.53 : 247,267.69 = 247,267.69 : x
  2. Step 2: Convert to fraction form
    147,827.53/247,267.69 = 247,267.69/x
  3. Step 3: Cross multiply
    147,827.53x = 247,267.69 × 247,267.69
  4. Step 4: Simplify right side
    147,827.53x = 61,141,309,281.60
  5. Step 5: Solve for x
    x = 61,141,309,281.60/147,827.53
  6. Step 6: Final answer
    x = 413,598.93

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.