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Finding the Third Proportional to 135,705.66 and 290,047.22

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Solution

The third proportional to 135,705.66 and 290,047.22 is: 619,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,705.66 : 290,047.22 = 290,047.22 : x
  2. Step 2: Convert to fraction form
    135,705.66/290,047.22 = 290,047.22/x
  3. Step 3: Cross multiply
    135,705.66x = 290,047.22 × 290,047.22
  4. Step 4: Simplify right side
    135,705.66x = 84,127,389,104.61
  5. Step 5: Solve for x
    x = 84,127,389,104.61/135,705.66
  6. Step 6: Final answer
    x = 619,925.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.