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Finding the Third Proportional to 245,970 and 360,207

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Solution

The third proportional to 245,970 and 360,207 is: 527,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,970 : 360,207 = 360,207 : x
  2. Step 2: Convert to fraction form
    245,970/360,207 = 360,207/x
  3. Step 3: Cross multiply
    245,970x = 360,207 × 360,207
  4. Step 4: Simplify right side
    245,970x = 129,749,082,849
  5. Step 5: Solve for x
    x = 129,749,082,849/245,970
  6. Step 6: Final answer
    x = 527,499.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.