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Finding the Third Proportional to 114,856 and 243,628

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Solution

The third proportional to 114,856 and 243,628 is: 516,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,856 : 243,628 = 243,628 : x
  2. Step 2: Convert to fraction form
    114,856/243,628 = 243,628/x
  3. Step 3: Cross multiply
    114,856x = 243,628 × 243,628
  4. Step 4: Simplify right side
    114,856x = 59,354,602,384
  5. Step 5: Solve for x
    x = 59,354,602,384/114,856
  6. Step 6: Final answer
    x = 516,774.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.