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Finding the Third Proportional to 145.13 and 356.48

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Solution

The third proportional to 145.13 and 356.48 is: 875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 356.48 = 356.48 : x
  2. Step 2: Convert to fraction form
    145.13/356.48 = 356.48/x
  3. Step 3: Cross multiply
    145.13x = 356.48 × 356.48
  4. Step 4: Simplify right side
    145.13x = 127,081.11
  5. Step 5: Solve for x
    x = 127,081.11/145.13
  6. Step 6: Final answer
    x = 875.67

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.