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Finding the Third Proportional to 114,008 and 247,484

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Solution

The third proportional to 114,008 and 247,484 is: 537,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,008 : 247,484 = 247,484 : x
  2. Step 2: Convert to fraction form
    114,008/247,484 = 247,484/x
  3. Step 3: Cross multiply
    114,008x = 247,484 × 247,484
  4. Step 4: Simplify right side
    114,008x = 61,248,330,256
  5. Step 5: Solve for x
    x = 61,248,330,256/114,008
  6. Step 6: Final answer
    x = 537,228.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.