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Finding the Third Proportional to 177,772 and 375,528

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Solution

The third proportional to 177,772 and 375,528 is: 793,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,772 : 375,528 = 375,528 : x
  2. Step 2: Convert to fraction form
    177,772/375,528 = 375,528/x
  3. Step 3: Cross multiply
    177,772x = 375,528 × 375,528
  4. Step 4: Simplify right side
    177,772x = 141,021,278,784
  5. Step 5: Solve for x
    x = 141,021,278,784/177,772
  6. Step 6: Final answer
    x = 793,270.47

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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.