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Finding the Third Proportional to 183,292 and 413,878

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Solution

The third proportional to 183,292 and 413,878 is: 934,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,292 : 413,878 = 413,878 : x
  2. Step 2: Convert to fraction form
    183,292/413,878 = 413,878/x
  3. Step 3: Cross multiply
    183,292x = 413,878 × 413,878
  4. Step 4: Simplify right side
    183,292x = 171,294,998,884
  5. Step 5: Solve for x
    x = 171,294,998,884/183,292
  6. Step 6: Final answer
    x = 934,547.06

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.