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Finding the Third Proportional to 182,312.02 and 288,452.39

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Solution

The third proportional to 182,312.02 and 288,452.39 is: 456,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,312.02 : 288,452.39 = 288,452.39 : x
  2. Step 2: Convert to fraction form
    182,312.02/288,452.39 = 288,452.39/x
  3. Step 3: Cross multiply
    182,312.02x = 288,452.39 × 288,452.39
  4. Step 4: Simplify right side
    182,312.02x = 83,204,781,657.28
  5. Step 5: Solve for x
    x = 83,204,781,657.28/182,312.02
  6. Step 6: Final answer
    x = 456,386.71

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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.