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Finding the Third Proportional to 137,715 and 291,961.50

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Solution

The third proportional to 137,715 and 291,961.50 is: 618,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,715 : 291,961.50 = 291,961.50 : x
  2. Step 2: Convert to fraction form
    137,715/291,961.50 = 291,961.50/x
  3. Step 3: Cross multiply
    137,715x = 291,961.50 × 291,961.50
  4. Step 4: Simplify right side
    137,715x = 85,241,517,482.25
  5. Step 5: Solve for x
    x = 85,241,517,482.25/137,715
  6. Step 6: Final answer
    x = 618,970.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.