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Finding the Third Proportional to 142,920 and 312,498

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Solution

The third proportional to 142,920 and 312,498 is: 683,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,920 : 312,498 = 312,498 : x
  2. Step 2: Convert to fraction form
    142,920/312,498 = 312,498/x
  3. Step 3: Cross multiply
    142,920x = 312,498 × 312,498
  4. Step 4: Simplify right side
    142,920x = 97,655,000,004
  5. Step 5: Solve for x
    x = 97,655,000,004/142,920
  6. Step 6: Final answer
    x = 683,284.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.