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Finding the Third Proportional to 114,553 and 245,630

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Solution

The third proportional to 114,553 and 245,630 is: 526,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,553 : 245,630 = 245,630 : x
  2. Step 2: Convert to fraction form
    114,553/245,630 = 245,630/x
  3. Step 3: Cross multiply
    114,553x = 245,630 × 245,630
  4. Step 4: Simplify right side
    114,553x = 60,334,096,900
  5. Step 5: Solve for x
    x = 60,334,096,900/114,553
  6. Step 6: Final answer
    x = 526,691.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.