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Finding the Third Proportional to 156,913.50 and 345,498

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Solution

The third proportional to 156,913.50 and 345,498 is: 760,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,913.50 : 345,498 = 345,498 : x
  2. Step 2: Convert to fraction form
    156,913.50/345,498 = 345,498/x
  3. Step 3: Cross multiply
    156,913.50x = 345,498 × 345,498
  4. Step 4: Simplify right side
    156,913.50x = 119,368,868,004
  5. Step 5: Solve for x
    x = 119,368,868,004/156,913.50
  6. Step 6: Final answer
    x = 760,730.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.