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Finding the Third Proportional to 115,134 and 248,410

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Solution

The third proportional to 115,134 and 248,410 is: 535,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,134 : 248,410 = 248,410 : x
  2. Step 2: Convert to fraction form
    115,134/248,410 = 248,410/x
  3. Step 3: Cross multiply
    115,134x = 248,410 × 248,410
  4. Step 4: Simplify right side
    115,134x = 61,707,528,100
  5. Step 5: Solve for x
    x = 61,707,528,100/115,134
  6. Step 6: Final answer
    x = 535,962.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.