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Finding the Third Proportional to 169,175.25 and 245,767.50

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Solution

The third proportional to 169,175.25 and 245,767.50 is: 357,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,175.25 : 245,767.50 = 245,767.50 : x
  2. Step 2: Convert to fraction form
    169,175.25/245,767.50 = 245,767.50/x
  3. Step 3: Cross multiply
    169,175.25x = 245,767.50 × 245,767.50
  4. Step 4: Simplify right side
    169,175.25x = 60,401,664,056.25
  5. Step 5: Solve for x
    x = 60,401,664,056.25/169,175.25
  6. Step 6: Final answer
    x = 357,036.06

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.