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Finding the Third Proportional to 161,085 and 348,718

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Solution

The third proportional to 161,085 and 348,718 is: 754,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,085 : 348,718 = 348,718 : x
  2. Step 2: Convert to fraction form
    161,085/348,718 = 348,718/x
  3. Step 3: Cross multiply
    161,085x = 348,718 × 348,718
  4. Step 4: Simplify right side
    161,085x = 121,604,243,524
  5. Step 5: Solve for x
    x = 121,604,243,524/161,085
  6. Step 6: Final answer
    x = 754,907.31

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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.