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Finding the Third Proportional to 177,725 and 375,430

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Solution

The third proportional to 177,725 and 375,430 is: 793,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,725 : 375,430 = 375,430 : x
  2. Step 2: Convert to fraction form
    177,725/375,430 = 375,430/x
  3. Step 3: Cross multiply
    177,725x = 375,430 × 375,430
  4. Step 4: Simplify right side
    177,725x = 140,947,684,900
  5. Step 5: Solve for x
    x = 140,947,684,900/177,725
  6. Step 6: Final answer
    x = 793,066.17

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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.