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Finding the Third Proportional to 105,044 and 230,498

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Solution

The third proportional to 105,044 and 230,498 is: 505,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,044 : 230,498 = 230,498 : x
  2. Step 2: Convert to fraction form
    105,044/230,498 = 230,498/x
  3. Step 3: Cross multiply
    105,044x = 230,498 × 230,498
  4. Step 4: Simplify right side
    105,044x = 53,129,328,004
  5. Step 5: Solve for x
    x = 53,129,328,004/105,044
  6. Step 6: Final answer
    x = 505,781.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.