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Finding the Third Proportional to 153,467 and 232,570

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Solution

The third proportional to 153,467 and 232,570 is: 352,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,467 : 232,570 = 232,570 : x
  2. Step 2: Convert to fraction form
    153,467/232,570 = 232,570/x
  3. Step 3: Cross multiply
    153,467x = 232,570 × 232,570
  4. Step 4: Simplify right side
    153,467x = 54,088,804,900
  5. Step 5: Solve for x
    x = 54,088,804,900/153,467
  6. Step 6: Final answer
    x = 352,445.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.