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Finding the Third Proportional to 152,005 and 233,312

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Solution

The third proportional to 152,005 and 233,312 is: 358,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,005 : 233,312 = 233,312 : x
  2. Step 2: Convert to fraction form
    152,005/233,312 = 233,312/x
  3. Step 3: Cross multiply
    152,005x = 233,312 × 233,312
  4. Step 4: Simplify right side
    152,005x = 54,434,489,344
  5. Step 5: Solve for x
    x = 54,434,489,344/152,005
  6. Step 6: Final answer
    x = 358,109.86

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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.