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Finding the Third Proportional to 201,321 and 438,601.50

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Solution

The third proportional to 201,321 and 438,601.50 is: 955,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,321 : 438,601.50 = 438,601.50 : x
  2. Step 2: Convert to fraction form
    201,321/438,601.50 = 438,601.50/x
  3. Step 3: Cross multiply
    201,321x = 438,601.50 × 438,601.50
  4. Step 4: Simplify right side
    201,321x = 192,371,275,802.25
  5. Step 5: Solve for x
    x = 192,371,275,802.25/201,321
  6. Step 6: Final answer
    x = 955,545.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.