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Finding the Third Proportional to 235,031 and 358,055

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Solution

The third proportional to 235,031 and 358,055 is: 545,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,031 : 358,055 = 358,055 : x
  2. Step 2: Convert to fraction form
    235,031/358,055 = 358,055/x
  3. Step 3: Cross multiply
    235,031x = 358,055 × 358,055
  4. Step 4: Simplify right side
    235,031x = 128,203,383,025
  5. Step 5: Solve for x
    x = 128,203,383,025/235,031
  6. Step 6: Final answer
    x = 545,474.35

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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.