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Finding the Third Proportional to 155,456.50 and 335,726

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Solution

The third proportional to 155,456.50 and 335,726 is: 725,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,456.50 : 335,726 = 335,726 : x
  2. Step 2: Convert to fraction form
    155,456.50/335,726 = 335,726/x
  3. Step 3: Cross multiply
    155,456.50x = 335,726 × 335,726
  4. Step 4: Simplify right side
    155,456.50x = 112,711,947,076
  5. Step 5: Solve for x
    x = 112,711,947,076/155,456.50
  6. Step 6: Final answer
    x = 725,038.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.