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Finding the Third Proportional to 161,664 and 349,140

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Solution

The third proportional to 161,664 and 349,140 is: 754,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,664 : 349,140 = 349,140 : x
  2. Step 2: Convert to fraction form
    161,664/349,140 = 349,140/x
  3. Step 3: Cross multiply
    161,664x = 349,140 × 349,140
  4. Step 4: Simplify right side
    161,664x = 121,898,739,600
  5. Step 5: Solve for x
    x = 121,898,739,600/161,664
  6. Step 6: Final answer
    x = 754,025.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.