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Finding the Third Proportional to 182,292 and 243,901.50

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Solution

The third proportional to 182,292 and 243,901.50 is: 326,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,292 : 243,901.50 = 243,901.50 : x
  2. Step 2: Convert to fraction form
    182,292/243,901.50 = 243,901.50/x
  3. Step 3: Cross multiply
    182,292x = 243,901.50 × 243,901.50
  4. Step 4: Simplify right side
    182,292x = 59,487,941,702.25
  5. Step 5: Solve for x
    x = 59,487,941,702.25/182,292
  6. Step 6: Final answer
    x = 326,333.25

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.