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Finding the Third Proportional to 114,712 and 251,460

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Solution

The third proportional to 114,712 and 251,460 is: 551,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,712 : 251,460 = 251,460 : x
  2. Step 2: Convert to fraction form
    114,712/251,460 = 251,460/x
  3. Step 3: Cross multiply
    114,712x = 251,460 × 251,460
  4. Step 4: Simplify right side
    114,712x = 63,232,131,600
  5. Step 5: Solve for x
    x = 63,232,131,600/114,712
  6. Step 6: Final answer
    x = 551,225.08

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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.