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Finding the Third Proportional to 158,062.50 and 242,356.50

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Solution

The third proportional to 158,062.50 and 242,356.50 is: 371,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,062.50 : 242,356.50 = 242,356.50 : x
  2. Step 2: Convert to fraction form
    158,062.50/242,356.50 = 242,356.50/x
  3. Step 3: Cross multiply
    158,062.50x = 242,356.50 × 242,356.50
  4. Step 4: Simplify right side
    158,062.50x = 58,736,673,092.25
  5. Step 5: Solve for x
    x = 58,736,673,092.25/158,062.50
  6. Step 6: Final answer
    x = 371,604.10

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.