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Finding the Third Proportional to 302,143.50 and 436,951.13

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Solution

The third proportional to 302,143.50 and 436,951.13 is: 631,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,143.50 : 436,951.13 = 436,951.13 : x
  2. Step 2: Convert to fraction form
    302,143.50/436,951.13 = 436,951.13/x
  3. Step 3: Cross multiply
    302,143.50x = 436,951.13 × 436,951.13
  4. Step 4: Simplify right side
    302,143.50x = 190,926,285,638.77
  5. Step 5: Solve for x
    x = 190,926,285,638.77/302,143.50
  6. Step 6: Final answer
    x = 631,905.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.