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Finding the Third Proportional to 84,492 and 158,339.25

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Solution

The third proportional to 84,492 and 158,339.25 is: 296,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,492 : 158,339.25 = 158,339.25 : x
  2. Step 2: Convert to fraction form
    84,492/158,339.25 = 158,339.25/x
  3. Step 3: Cross multiply
    84,492x = 158,339.25 × 158,339.25
  4. Step 4: Simplify right side
    84,492x = 25,071,318,090.56
  5. Step 5: Solve for x
    x = 25,071,318,090.56/84,492
  6. Step 6: Final answer
    x = 296,730.08

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.