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Finding the Third Proportional to 170,434.13 and 252,355.50

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Solution

The third proportional to 170,434.13 and 252,355.50 is: 373,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,434.13 : 252,355.50 = 252,355.50 : x
  2. Step 2: Convert to fraction form
    170,434.13/252,355.50 = 252,355.50/x
  3. Step 3: Cross multiply
    170,434.13x = 252,355.50 × 252,355.50
  4. Step 4: Simplify right side
    170,434.13x = 63,683,298,380.25
  5. Step 5: Solve for x
    x = 63,683,298,380.25/170,434.13
  6. Step 6: Final answer
    x = 373,653.45

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.