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Finding the Third Proportional to 151,457 and 235,174

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Solution

The third proportional to 151,457 and 235,174 is: 365,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,457 : 235,174 = 235,174 : x
  2. Step 2: Convert to fraction form
    151,457/235,174 = 235,174/x
  3. Step 3: Cross multiply
    151,457x = 235,174 × 235,174
  4. Step 4: Simplify right side
    151,457x = 55,306,810,276
  5. Step 5: Solve for x
    x = 55,306,810,276/151,457
  6. Step 6: Final answer
    x = 365,165.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.