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Finding the Third Proportional to 235,408 and 358,552

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Solution

The third proportional to 235,408 and 358,552 is: 546,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,408 : 358,552 = 358,552 : x
  2. Step 2: Convert to fraction form
    235,408/358,552 = 358,552/x
  3. Step 3: Cross multiply
    235,408x = 358,552 × 358,552
  4. Step 4: Simplify right side
    235,408x = 128,559,536,704
  5. Step 5: Solve for x
    x = 128,559,536,704/235,408
  6. Step 6: Final answer
    x = 546,113.71

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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.