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Finding the Third Proportional to 114,038 and 242,840

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Solution

The third proportional to 114,038 and 242,840 is: 517,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,038 : 242,840 = 242,840 : x
  2. Step 2: Convert to fraction form
    114,038/242,840 = 242,840/x
  3. Step 3: Cross multiply
    114,038x = 242,840 × 242,840
  4. Step 4: Simplify right side
    114,038x = 58,971,265,600
  5. Step 5: Solve for x
    x = 58,971,265,600/114,038
  6. Step 6: Final answer
    x = 517,119.43

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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.