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Finding the Third Proportional to 183,714 and 260,024

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Solution

The third proportional to 183,714 and 260,024 is: 368,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,714 : 260,024 = 260,024 : x
  2. Step 2: Convert to fraction form
    183,714/260,024 = 260,024/x
  3. Step 3: Cross multiply
    183,714x = 260,024 × 260,024
  4. Step 4: Simplify right side
    183,714x = 67,612,480,576
  5. Step 5: Solve for x
    x = 67,612,480,576/183,714
  6. Step 6: Final answer
    x = 368,031.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.