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Finding the Third Proportional to 182,318.34 and 288,461.25

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Solution

The third proportional to 182,318.34 and 288,461.25 is: 456,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,318.34 : 288,461.25 = 288,461.25 : x
  2. Step 2: Convert to fraction form
    182,318.34/288,461.25 = 288,461.25/x
  3. Step 3: Cross multiply
    182,318.34x = 288,461.25 × 288,461.25
  4. Step 4: Simplify right side
    182,318.34x = 83,209,892,751.56
  5. Step 5: Solve for x
    x = 83,209,892,751.56/182,318.34
  6. Step 6: Final answer
    x = 456,398.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.