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Finding the Third Proportional to 115,460 and 251,820

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Solution

The third proportional to 115,460 and 251,820 is: 549,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,460 : 251,820 = 251,820 : x
  2. Step 2: Convert to fraction form
    115,460/251,820 = 251,820/x
  3. Step 3: Cross multiply
    115,460x = 251,820 × 251,820
  4. Step 4: Simplify right side
    115,460x = 63,413,312,400
  5. Step 5: Solve for x
    x = 63,413,312,400/115,460
  6. Step 6: Final answer
    x = 549,223.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.