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Finding the Third Proportional to 142,513 and 301,117

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Solution

The third proportional to 142,513 and 301,117 is: 636,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,513 : 301,117 = 301,117 : x
  2. Step 2: Convert to fraction form
    142,513/301,117 = 301,117/x
  3. Step 3: Cross multiply
    142,513x = 301,117 × 301,117
  4. Step 4: Simplify right side
    142,513x = 90,671,447,689
  5. Step 5: Solve for x
    x = 90,671,447,689/142,513
  6. Step 6: Final answer
    x = 636,232.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.