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Finding the Third Proportional to 214,788.75 and 424,156.50

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Solution

The third proportional to 214,788.75 and 424,156.50 is: 837,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,788.75 : 424,156.50 = 424,156.50 : x
  2. Step 2: Convert to fraction form
    214,788.75/424,156.50 = 424,156.50/x
  3. Step 3: Cross multiply
    214,788.75x = 424,156.50 × 424,156.50
  4. Step 4: Simplify right side
    214,788.75x = 179,908,736,492.25
  5. Step 5: Solve for x
    x = 179,908,736,492.25/214,788.75
  6. Step 6: Final answer
    x = 837,607.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.