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Finding the Third Proportional to 295.84 and 456.26

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Solution

The third proportional to 295.84 and 456.26 is: 703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.84 : 456.26 = 456.26 : x
  2. Step 2: Convert to fraction form
    295.84/456.26 = 456.26/x
  3. Step 3: Cross multiply
    295.84x = 456.26 × 456.26
  4. Step 4: Simplify right side
    295.84x = 208,171.19
  5. Step 5: Solve for x
    x = 208,171.19/295.84
  6. Step 6: Final answer
    x = 703.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.