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Finding the Third Proportional to 114,317 and 250,428

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Solution

The third proportional to 114,317 and 250,428 is: 548,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,317 : 250,428 = 250,428 : x
  2. Step 2: Convert to fraction form
    114,317/250,428 = 250,428/x
  3. Step 3: Cross multiply
    114,317x = 250,428 × 250,428
  4. Step 4: Simplify right side
    114,317x = 62,714,183,184
  5. Step 5: Solve for x
    x = 62,714,183,184/114,317
  6. Step 6: Final answer
    x = 548,598.92

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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.