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Finding the Third Proportional to 177,718 and 375,416

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Solution

The third proportional to 177,718 and 375,416 is: 793,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,718 : 375,416 = 375,416 : x
  2. Step 2: Convert to fraction form
    177,718/375,416 = 375,416/x
  3. Step 3: Cross multiply
    177,718x = 375,416 × 375,416
  4. Step 4: Simplify right side
    177,718x = 140,937,173,056
  5. Step 5: Solve for x
    x = 140,937,173,056/177,718
  6. Step 6: Final answer
    x = 793,038.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.