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Finding the Third Proportional to 161,798.25 and 253,260

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Solution

The third proportional to 161,798.25 and 253,260 is: 396,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,798.25 : 253,260 = 253,260 : x
  2. Step 2: Convert to fraction form
    161,798.25/253,260 = 253,260/x
  3. Step 3: Cross multiply
    161,798.25x = 253,260 × 253,260
  4. Step 4: Simplify right side
    161,798.25x = 64,140,627,600
  5. Step 5: Solve for x
    x = 64,140,627,600/161,798.25
  6. Step 6: Final answer
    x = 396,423.49

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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.