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Finding the Third Proportional to 142,587.84 and 307,524.09

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Solution

The third proportional to 142,587.84 and 307,524.09 is: 663,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,587.84 : 307,524.09 = 307,524.09 : x
  2. Step 2: Convert to fraction form
    142,587.84/307,524.09 = 307,524.09/x
  3. Step 3: Cross multiply
    142,587.84x = 307,524.09 × 307,524.09
  4. Step 4: Simplify right side
    142,587.84x = 94,571,068,236.76
  5. Step 5: Solve for x
    x = 94,571,068,236.76/142,587.84
  6. Step 6: Final answer
    x = 663,247.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.