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Finding the Third Proportional to 152,369 and 232,653

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Solution

The third proportional to 152,369 and 232,653 is: 355,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,369 : 232,653 = 232,653 : x
  2. Step 2: Convert to fraction form
    152,369/232,653 = 232,653/x
  3. Step 3: Cross multiply
    152,369x = 232,653 × 232,653
  4. Step 4: Simplify right side
    152,369x = 54,127,418,409
  5. Step 5: Solve for x
    x = 54,127,418,409/152,369
  6. Step 6: Final answer
    x = 355,239.05

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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.