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Finding the Third Proportional to 114,564 and 251,160

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Solution

The third proportional to 114,564 and 251,160 is: 550,621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,564 : 251,160 = 251,160 : x
  2. Step 2: Convert to fraction form
    114,564/251,160 = 251,160/x
  3. Step 3: Cross multiply
    114,564x = 251,160 × 251,160
  4. Step 4: Simplify right side
    114,564x = 63,081,345,600
  5. Step 5: Solve for x
    x = 63,081,345,600/114,564
  6. Step 6: Final answer
    x = 550,621.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.