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Finding the Third Proportional to 152,904.38 and 220,244.06

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Solution

The third proportional to 152,904.38 and 220,244.06 is: 317,240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,904.38 : 220,244.06 = 220,244.06 : x
  2. Step 2: Convert to fraction form
    152,904.38/220,244.06 = 220,244.06/x
  3. Step 3: Cross multiply
    152,904.38x = 220,244.06 × 220,244.06
  4. Step 4: Simplify right side
    152,904.38x = 48,507,447,066.50
  5. Step 5: Solve for x
    x = 48,507,447,066.50/152,904.38
  6. Step 6: Final answer
    x = 317,240.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.