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Finding the Third Proportional to 152,604 and 233,442

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Solution

The third proportional to 152,604 and 233,442 is: 357,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,604 : 233,442 = 233,442 : x
  2. Step 2: Convert to fraction form
    152,604/233,442 = 233,442/x
  3. Step 3: Cross multiply
    152,604x = 233,442 × 233,442
  4. Step 4: Simplify right side
    152,604x = 54,495,167,364
  5. Step 5: Solve for x
    x = 54,495,167,364/152,604
  6. Step 6: Final answer
    x = 357,101.83

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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.