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Finding the Third Proportional to 161,087 and 348,723

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Solution

The third proportional to 161,087 and 348,723 is: 754,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,087 : 348,723 = 348,723 : x
  2. Step 2: Convert to fraction form
    161,087/348,723 = 348,723/x
  3. Step 3: Cross multiply
    161,087x = 348,723 × 348,723
  4. Step 4: Simplify right side
    161,087x = 121,607,730,729
  5. Step 5: Solve for x
    x = 121,607,730,729/161,087
  6. Step 6: Final answer
    x = 754,919.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.