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Finding the Third Proportional to 201,952 and 312,664

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Solution

The third proportional to 201,952 and 312,664 is: 484,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,952 : 312,664 = 312,664 : x
  2. Step 2: Convert to fraction form
    201,952/312,664 = 312,664/x
  3. Step 3: Cross multiply
    201,952x = 312,664 × 312,664
  4. Step 4: Simplify right side
    201,952x = 97,758,776,896
  5. Step 5: Solve for x
    x = 97,758,776,896/201,952
  6. Step 6: Final answer
    x = 484,069.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.