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Finding the Third Proportional to 146,460 and 234,430

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Solution

The third proportional to 146,460 and 234,430 is: 375,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,460 : 234,430 = 234,430 : x
  2. Step 2: Convert to fraction form
    146,460/234,430 = 234,430/x
  3. Step 3: Cross multiply
    146,460x = 234,430 × 234,430
  4. Step 4: Simplify right side
    146,460x = 54,957,424,900
  5. Step 5: Solve for x
    x = 54,957,424,900/146,460
  6. Step 6: Final answer
    x = 375,238.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.