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Finding the Third Proportional to 131,004 and 201,798

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Solution

The third proportional to 131,004 and 201,798 is: 310,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,004 : 201,798 = 201,798 : x
  2. Step 2: Convert to fraction form
    131,004/201,798 = 201,798/x
  3. Step 3: Cross multiply
    131,004x = 201,798 × 201,798
  4. Step 4: Simplify right side
    131,004x = 40,722,432,804
  5. Step 5: Solve for x
    x = 40,722,432,804/131,004
  6. Step 6: Final answer
    x = 310,848.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.