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Finding the Third Proportional to 118,801 and 256,022

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Solution

The third proportional to 118,801 and 256,022 is: 551,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,801 : 256,022 = 256,022 : x
  2. Step 2: Convert to fraction form
    118,801/256,022 = 256,022/x
  3. Step 3: Cross multiply
    118,801x = 256,022 × 256,022
  4. Step 4: Simplify right side
    118,801x = 65,547,264,484
  5. Step 5: Solve for x
    x = 65,547,264,484/118,801
  6. Step 6: Final answer
    x = 551,740.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.