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Finding the Third Proportional to 168,972 and 261,547

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Solution

The third proportional to 168,972 and 261,547 is: 404,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,972 : 261,547 = 261,547 : x
  2. Step 2: Convert to fraction form
    168,972/261,547 = 261,547/x
  3. Step 3: Cross multiply
    168,972x = 261,547 × 261,547
  4. Step 4: Simplify right side
    168,972x = 68,406,833,209
  5. Step 5: Solve for x
    x = 68,406,833,209/168,972
  6. Step 6: Final answer
    x = 404,841.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.