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Finding the Third Proportional to 105,748 and 228,919

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Solution

The third proportional to 105,748 and 228,919 is: 495,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,748 : 228,919 = 228,919 : x
  2. Step 2: Convert to fraction form
    105,748/228,919 = 228,919/x
  3. Step 3: Cross multiply
    105,748x = 228,919 × 228,919
  4. Step 4: Simplify right side
    105,748x = 52,403,908,561
  5. Step 5: Solve for x
    x = 52,403,908,561/105,748
  6. Step 6: Final answer
    x = 495,554.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.