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Finding the Third Proportional to 174,536 and 265,044

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Solution

The third proportional to 174,536 and 265,044 is: 402,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,536 : 265,044 = 265,044 : x
  2. Step 2: Convert to fraction form
    174,536/265,044 = 265,044/x
  3. Step 3: Cross multiply
    174,536x = 265,044 × 265,044
  4. Step 4: Simplify right side
    174,536x = 70,248,321,936
  5. Step 5: Solve for x
    x = 70,248,321,936/174,536
  6. Step 6: Final answer
    x = 402,486.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.