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Finding the Third Proportional to 153,024 and 233,920

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Solution

The third proportional to 153,024 and 233,920 is: 357,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,024 : 233,920 = 233,920 : x
  2. Step 2: Convert to fraction form
    153,024/233,920 = 233,920/x
  3. Step 3: Cross multiply
    153,024x = 233,920 × 233,920
  4. Step 4: Simplify right side
    153,024x = 54,718,566,400
  5. Step 5: Solve for x
    x = 54,718,566,400/153,024
  6. Step 6: Final answer
    x = 357,581.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.