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Finding the Third Proportional to 177,724 and 375,428

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Solution

The third proportional to 177,724 and 375,428 is: 793,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,724 : 375,428 = 375,428 : x
  2. Step 2: Convert to fraction form
    177,724/375,428 = 375,428/x
  3. Step 3: Cross multiply
    177,724x = 375,428 × 375,428
  4. Step 4: Simplify right side
    177,724x = 140,946,183,184
  5. Step 5: Solve for x
    x = 140,946,183,184/177,724
  6. Step 6: Final answer
    x = 793,062.18

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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.