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Finding the Third Proportional to 78,180.50 and 152,473

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Solution

The third proportional to 78,180.50 and 152,473 is: 297,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,180.50 : 152,473 = 152,473 : x
  2. Step 2: Convert to fraction form
    78,180.50/152,473 = 152,473/x
  3. Step 3: Cross multiply
    78,180.50x = 152,473 × 152,473
  4. Step 4: Simplify right side
    78,180.50x = 23,248,015,729
  5. Step 5: Solve for x
    x = 23,248,015,729/78,180.50
  6. Step 6: Final answer
    x = 297,363.35

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.