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Finding the Third Proportional to 346.78 and 526.08

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Solution

The third proportional to 346.78 and 526.08 is: 798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 526.08 = 526.08 : x
  2. Step 2: Convert to fraction form
    346.78/526.08 = 526.08/x
  3. Step 3: Cross multiply
    346.78x = 526.08 × 526.08
  4. Step 4: Simplify right side
    346.78x = 276,758.19
  5. Step 5: Solve for x
    x = 276,758.19/346.78
  6. Step 6: Final answer
    x = 798.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.