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Finding the Third Proportional to 201,946.50 and 437,323.50

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Solution

The third proportional to 201,946.50 and 437,323.50 is: 947,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,946.50 : 437,323.50 = 437,323.50 : x
  2. Step 2: Convert to fraction form
    201,946.50/437,323.50 = 437,323.50/x
  3. Step 3: Cross multiply
    201,946.50x = 437,323.50 × 437,323.50
  4. Step 4: Simplify right side
    201,946.50x = 191,251,843,652.25
  5. Step 5: Solve for x
    x = 191,251,843,652.25/201,946.50
  6. Step 6: Final answer
    x = 947,042.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.