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Finding the Third Proportional to 233,952 and 366,624

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Solution

The third proportional to 233,952 and 366,624 is: 574,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,952 : 366,624 = 366,624 : x
  2. Step 2: Convert to fraction form
    233,952/366,624 = 366,624/x
  3. Step 3: Cross multiply
    233,952x = 366,624 × 366,624
  4. Step 4: Simplify right side
    233,952x = 134,413,157,376
  5. Step 5: Solve for x
    x = 134,413,157,376/233,952
  6. Step 6: Final answer
    x = 574,533.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.