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Finding the Third Proportional to 161,813 and 253,287.50

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Solution

The third proportional to 161,813 and 253,287.50 is: 396,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,813 : 253,287.50 = 253,287.50 : x
  2. Step 2: Convert to fraction form
    161,813/253,287.50 = 253,287.50/x
  3. Step 3: Cross multiply
    161,813x = 253,287.50 × 253,287.50
  4. Step 4: Simplify right side
    161,813x = 64,154,557,656.25
  5. Step 5: Solve for x
    x = 64,154,557,656.25/161,813
  6. Step 6: Final answer
    x = 396,473.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.