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Finding the Third Proportional to 153,034 and 233,935

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Solution

The third proportional to 153,034 and 233,935 is: 357,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,034 : 233,935 = 233,935 : x
  2. Step 2: Convert to fraction form
    153,034/233,935 = 233,935/x
  3. Step 3: Cross multiply
    153,034x = 233,935 × 233,935
  4. Step 4: Simplify right side
    153,034x = 54,725,584,225
  5. Step 5: Solve for x
    x = 54,725,584,225/153,034
  6. Step 6: Final answer
    x = 357,604.09

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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.