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Finding the Third Proportional to 134,652 and 282,840

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Solution

The third proportional to 134,652 and 282,840 is: 594,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,652 : 282,840 = 282,840 : x
  2. Step 2: Convert to fraction form
    134,652/282,840 = 282,840/x
  3. Step 3: Cross multiply
    134,652x = 282,840 × 282,840
  4. Step 4: Simplify right side
    134,652x = 79,998,465,600
  5. Step 5: Solve for x
    x = 79,998,465,600/134,652
  6. Step 6: Final answer
    x = 594,112.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.