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Finding the Third Proportional to 235,424 and 358,576

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Solution

The third proportional to 235,424 and 358,576 is: 546,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,424 : 358,576 = 358,576 : x
  2. Step 2: Convert to fraction form
    235,424/358,576 = 358,576/x
  3. Step 3: Cross multiply
    235,424x = 358,576 × 358,576
  4. Step 4: Simplify right side
    235,424x = 128,576,747,776
  5. Step 5: Solve for x
    x = 128,576,747,776/235,424
  6. Step 6: Final answer
    x = 546,149.70

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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.