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Finding the Third Proportional to 115,024 and 250,297

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Solution

The third proportional to 115,024 and 250,297 is: 544,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,024 : 250,297 = 250,297 : x
  2. Step 2: Convert to fraction form
    115,024/250,297 = 250,297/x
  3. Step 3: Cross multiply
    115,024x = 250,297 × 250,297
  4. Step 4: Simplify right side
    115,024x = 62,648,588,209
  5. Step 5: Solve for x
    x = 62,648,588,209/115,024
  6. Step 6: Final answer
    x = 544,656.66

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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.