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Finding the Third Proportional to 345.88 and 567.13

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Solution

The third proportional to 345.88 and 567.13 is: 929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.88 : 567.13 = 567.13 : x
  2. Step 2: Convert to fraction form
    345.88/567.13 = 567.13/x
  3. Step 3: Cross multiply
    345.88x = 567.13 × 567.13
  4. Step 4: Simplify right side
    345.88x = 321,630.77
  5. Step 5: Solve for x
    x = 321,630.77/345.88
  6. Step 6: Final answer
    x = 929.90

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.