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Finding the Third Proportional to 194,950.50 and 285,666.63

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Solution

The third proportional to 194,950.50 and 285,666.63 is: 418,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,950.50 : 285,666.63 = 285,666.63 : x
  2. Step 2: Convert to fraction form
    194,950.50/285,666.63 = 285,666.63/x
  3. Step 3: Cross multiply
    194,950.50x = 285,666.63 × 285,666.63
  4. Step 4: Simplify right side
    194,950.50x = 81,605,420,638.89
  5. Step 5: Solve for x
    x = 81,605,420,638.89/194,950.50
  6. Step 6: Final answer
    x = 418,595.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.