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Finding the Third Proportional to 245,366 and 359,948

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Solution

The third proportional to 245,366 and 359,948 is: 528,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,366 : 359,948 = 359,948 : x
  2. Step 2: Convert to fraction form
    245,366/359,948 = 359,948/x
  3. Step 3: Cross multiply
    245,366x = 359,948 × 359,948
  4. Step 4: Simplify right side
    245,366x = 129,562,562,704
  5. Step 5: Solve for x
    x = 129,562,562,704/245,366
  6. Step 6: Final answer
    x = 528,037.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.