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Finding the Third Proportional to 180,006 and 424,375.50

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Solution

The third proportional to 180,006 and 424,375.50 is: 1,000,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,006 : 424,375.50 = 424,375.50 : x
  2. Step 2: Convert to fraction form
    180,006/424,375.50 = 424,375.50/x
  3. Step 3: Cross multiply
    180,006x = 424,375.50 × 424,375.50
  4. Step 4: Simplify right side
    180,006x = 180,094,565,000.25
  5. Step 5: Solve for x
    x = 180,094,565,000.25/180,006
  6. Step 6: Final answer
    x = 1,000,492.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.