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Finding the Third Proportional to 180,547.50 and 391,227

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Solution

The third proportional to 180,547.50 and 391,227 is: 847,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,547.50 : 391,227 = 391,227 : x
  2. Step 2: Convert to fraction form
    180,547.50/391,227 = 391,227/x
  3. Step 3: Cross multiply
    180,547.50x = 391,227 × 391,227
  4. Step 4: Simplify right side
    180,547.50x = 153,058,565,529
  5. Step 5: Solve for x
    x = 153,058,565,529/180,547.50
  6. Step 6: Final answer
    x = 847,746.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.