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Finding the Third Proportional to 183,547 and 403,249

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Solution

The third proportional to 183,547 and 403,249 is: 885,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,547 : 403,249 = 403,249 : x
  2. Step 2: Convert to fraction form
    183,547/403,249 = 403,249/x
  3. Step 3: Cross multiply
    183,547x = 403,249 × 403,249
  4. Step 4: Simplify right side
    183,547x = 162,609,756,001
  5. Step 5: Solve for x
    x = 162,609,756,001/183,547
  6. Step 6: Final answer
    x = 885,929.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.