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Finding the Third Proportional to 158,092.25 and 242,970.50

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Solution

The third proportional to 158,092.25 and 242,970.50 is: 373,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,092.25 : 242,970.50 = 242,970.50 : x
  2. Step 2: Convert to fraction form
    158,092.25/242,970.50 = 242,970.50/x
  3. Step 3: Cross multiply
    158,092.25x = 242,970.50 × 242,970.50
  4. Step 4: Simplify right side
    158,092.25x = 59,034,663,870.25
  5. Step 5: Solve for x
    x = 59,034,663,870.25/158,092.25
  6. Step 6: Final answer
    x = 373,419.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.