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Finding the Third Proportional to 161,776 and 346,968

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Solution

The third proportional to 161,776 and 346,968 is: 744,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,776 : 346,968 = 346,968 : x
  2. Step 2: Convert to fraction form
    161,776/346,968 = 346,968/x
  3. Step 3: Cross multiply
    161,776x = 346,968 × 346,968
  4. Step 4: Simplify right side
    161,776x = 120,386,793,024
  5. Step 5: Solve for x
    x = 120,386,793,024/161,776
  6. Step 6: Final answer
    x = 744,157.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.