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Finding the Third Proportional to 346.15 and 758.74

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Solution

The third proportional to 346.15 and 758.74 is: 1,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.15 : 758.74 = 758.74 : x
  2. Step 2: Convert to fraction form
    346.15/758.74 = 758.74/x
  3. Step 3: Cross multiply
    346.15x = 758.74 × 758.74
  4. Step 4: Simplify right side
    346.15x = 575,689.71
  5. Step 5: Solve for x
    x = 575,689.71/346.15
  6. Step 6: Final answer
    x = 1,663.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.