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Finding the Third Proportional to 201,841.88 and 424,596.94

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Solution

The third proportional to 201,841.88 and 424,596.94 is: 893,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,841.88 : 424,596.94 = 424,596.94 : x
  2. Step 2: Convert to fraction form
    201,841.88/424,596.94 = 424,596.94/x
  3. Step 3: Cross multiply
    201,841.88x = 424,596.94 × 424,596.94
  4. Step 4: Simplify right side
    201,841.88x = 180,282,559,334.38
  5. Step 5: Solve for x
    x = 180,282,559,334.38/201,841.88
  6. Step 6: Final answer
    x = 893,187.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.