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Finding the Third Proportional to 138,175.50 and 297,492

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Solution

The third proportional to 138,175.50 and 297,492 is: 640,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,175.50 : 297,492 = 297,492 : x
  2. Step 2: Convert to fraction form
    138,175.50/297,492 = 297,492/x
  3. Step 3: Cross multiply
    138,175.50x = 297,492 × 297,492
  4. Step 4: Simplify right side
    138,175.50x = 88,501,490,064
  5. Step 5: Solve for x
    x = 88,501,490,064/138,175.50
  6. Step 6: Final answer
    x = 640,500.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.