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Finding the Third Proportional to 158,963.50 and 240,065.50

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Solution

The third proportional to 158,963.50 and 240,065.50 is: 362,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,963.50 : 240,065.50 = 240,065.50 : x
  2. Step 2: Convert to fraction form
    158,963.50/240,065.50 = 240,065.50/x
  3. Step 3: Cross multiply
    158,963.50x = 240,065.50 × 240,065.50
  4. Step 4: Simplify right side
    158,963.50x = 57,631,444,290.25
  5. Step 5: Solve for x
    x = 57,631,444,290.25/158,963.50
  6. Step 6: Final answer
    x = 362,545.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.