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Finding the Third Proportional to 235,228 and 355,030

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Solution

The third proportional to 235,228 and 355,030 is: 535,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,228 : 355,030 = 355,030 : x
  2. Step 2: Convert to fraction form
    235,228/355,030 = 355,030/x
  3. Step 3: Cross multiply
    235,228x = 355,030 × 355,030
  4. Step 4: Simplify right side
    235,228x = 126,046,300,900
  5. Step 5: Solve for x
    x = 126,046,300,900/235,228
  6. Step 6: Final answer
    x = 535,847.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.