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Finding the Third Proportional to 150,460 and 233,724

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Solution

The third proportional to 150,460 and 233,724 is: 363,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,460 : 233,724 = 233,724 : x
  2. Step 2: Convert to fraction form
    150,460/233,724 = 233,724/x
  3. Step 3: Cross multiply
    150,460x = 233,724 × 233,724
  4. Step 4: Simplify right side
    150,460x = 54,626,908,176
  5. Step 5: Solve for x
    x = 54,626,908,176/150,460
  6. Step 6: Final answer
    x = 363,065.99

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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.