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Finding the Third Proportional to 103,044 and 229,416

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Solution

The third proportional to 103,044 and 229,416 is: 510,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,044 : 229,416 = 229,416 : x
  2. Step 2: Convert to fraction form
    103,044/229,416 = 229,416/x
  3. Step 3: Cross multiply
    103,044x = 229,416 × 229,416
  4. Step 4: Simplify right side
    103,044x = 52,631,701,056
  5. Step 5: Solve for x
    x = 52,631,701,056/103,044
  6. Step 6: Final answer
    x = 510,769.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.