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Finding the Third Proportional to 152,916.75 and 359,781.75

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Solution

The third proportional to 152,916.75 and 359,781.75 is: 846,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,916.75 : 359,781.75 = 359,781.75 : x
  2. Step 2: Convert to fraction form
    152,916.75/359,781.75 = 359,781.75/x
  3. Step 3: Cross multiply
    152,916.75x = 359,781.75 × 359,781.75
  4. Step 4: Simplify right side
    152,916.75x = 129,442,907,633.06
  5. Step 5: Solve for x
    x = 129,442,907,633.06/152,916.75
  6. Step 6: Final answer
    x = 846,492.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.