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Finding the Third Proportional to 78,348 and 170,881.50

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Solution

The third proportional to 78,348 and 170,881.50 is: 372,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,348 : 170,881.50 = 170,881.50 : x
  2. Step 2: Convert to fraction form
    78,348/170,881.50 = 170,881.50/x
  3. Step 3: Cross multiply
    78,348x = 170,881.50 × 170,881.50
  4. Step 4: Simplify right side
    78,348x = 29,200,487,042.25
  5. Step 5: Solve for x
    x = 29,200,487,042.25/78,348
  6. Step 6: Final answer
    x = 372,702.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.