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Finding the Third Proportional to 161,730 and 233,167

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Solution

The third proportional to 161,730 and 233,167 is: 336,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,730 : 233,167 = 233,167 : x
  2. Step 2: Convert to fraction form
    161,730/233,167 = 233,167/x
  3. Step 3: Cross multiply
    161,730x = 233,167 × 233,167
  4. Step 4: Simplify right side
    161,730x = 54,366,849,889
  5. Step 5: Solve for x
    x = 54,366,849,889/161,730
  6. Step 6: Final answer
    x = 336,158.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.