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Finding the Third Proportional to 130,602 and 282,942

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Solution

The third proportional to 130,602 and 282,942 is: 612,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,602 : 282,942 = 282,942 : x
  2. Step 2: Convert to fraction form
    130,602/282,942 = 282,942/x
  3. Step 3: Cross multiply
    130,602x = 282,942 × 282,942
  4. Step 4: Simplify right side
    130,602x = 80,056,175,364
  5. Step 5: Solve for x
    x = 80,056,175,364/130,602
  6. Step 6: Final answer
    x = 612,978.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.