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Finding the Third Proportional to 235,089 and 353,207

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Solution

The third proportional to 235,089 and 353,207 is: 530,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,089 : 353,207 = 353,207 : x
  2. Step 2: Convert to fraction form
    235,089/353,207 = 353,207/x
  3. Step 3: Cross multiply
    235,089x = 353,207 × 353,207
  4. Step 4: Simplify right side
    235,089x = 124,755,184,849
  5. Step 5: Solve for x
    x = 124,755,184,849/235,089
  6. Step 6: Final answer
    x = 530,672.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.