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Finding the Third Proportional to 162,845 and 353,541

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Solution

The third proportional to 162,845 and 353,541 is: 767,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,845 : 353,541 = 353,541 : x
  2. Step 2: Convert to fraction form
    162,845/353,541 = 353,541/x
  3. Step 3: Cross multiply
    162,845x = 353,541 × 353,541
  4. Step 4: Simplify right side
    162,845x = 124,991,238,681
  5. Step 5: Solve for x
    x = 124,991,238,681/162,845
  6. Step 6: Final answer
    x = 767,547.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.