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Finding the Third Proportional to 161,905 and 343,541

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Solution

The third proportional to 161,905 and 343,541 is: 728,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,905 : 343,541 = 343,541 : x
  2. Step 2: Convert to fraction form
    161,905/343,541 = 343,541/x
  3. Step 3: Cross multiply
    161,905x = 343,541 × 343,541
  4. Step 4: Simplify right side
    161,905x = 118,020,418,681
  5. Step 5: Solve for x
    x = 118,020,418,681/161,905
  6. Step 6: Final answer
    x = 728,948.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.