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Finding the Third Proportional to 261.98 and 392.98

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Solution

The third proportional to 261.98 and 392.98 is: 589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.98 : 392.98 = 392.98 : x
  2. Step 2: Convert to fraction form
    261.98/392.98 = 392.98/x
  3. Step 3: Cross multiply
    261.98x = 392.98 × 392.98
  4. Step 4: Simplify right side
    261.98x = 154,430.58
  5. Step 5: Solve for x
    x = 154,430.58/261.98
  6. Step 6: Final answer
    x = 589.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.