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Finding the Third Proportional to 114,023 and 242,810

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Solution

The third proportional to 114,023 and 242,810 is: 517,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,023 : 242,810 = 242,810 : x
  2. Step 2: Convert to fraction form
    114,023/242,810 = 242,810/x
  3. Step 3: Cross multiply
    114,023x = 242,810 × 242,810
  4. Step 4: Simplify right side
    114,023x = 58,956,696,100
  5. Step 5: Solve for x
    x = 58,956,696,100/114,023
  6. Step 6: Final answer
    x = 517,059.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.