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Finding the Third Proportional to 161,773 and 351,490

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Solution

The third proportional to 161,773 and 351,490 is: 763,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,773 : 351,490 = 351,490 : x
  2. Step 2: Convert to fraction form
    161,773/351,490 = 351,490/x
  3. Step 3: Cross multiply
    161,773x = 351,490 × 351,490
  4. Step 4: Simplify right side
    161,773x = 123,545,220,100
  5. Step 5: Solve for x
    x = 123,545,220,100/161,773
  6. Step 6: Final answer
    x = 763,694.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.