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Finding the Third Proportional to 115,697 and 174,778

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Solution

The third proportional to 115,697 and 174,778 is: 264,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,697 : 174,778 = 174,778 : x
  2. Step 2: Convert to fraction form
    115,697/174,778 = 174,778/x
  3. Step 3: Cross multiply
    115,697x = 174,778 × 174,778
  4. Step 4: Simplify right side
    115,697x = 30,547,349,284
  5. Step 5: Solve for x
    x = 30,547,349,284/115,697
  6. Step 6: Final answer
    x = 264,028.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.