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Finding the Third Proportional to 103,730 and 234,389

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Solution

The third proportional to 103,730 and 234,389 is: 529,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,730 : 234,389 = 234,389 : x
  2. Step 2: Convert to fraction form
    103,730/234,389 = 234,389/x
  3. Step 3: Cross multiply
    103,730x = 234,389 × 234,389
  4. Step 4: Simplify right side
    103,730x = 54,938,203,321
  5. Step 5: Solve for x
    x = 54,938,203,321/103,730
  6. Step 6: Final answer
    x = 529,626.95

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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.