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Finding the Third Proportional to 138,402 and 298,998

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Solution

The third proportional to 138,402 and 298,998 is: 645,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,402 : 298,998 = 298,998 : x
  2. Step 2: Convert to fraction form
    138,402/298,998 = 298,998/x
  3. Step 3: Cross multiply
    138,402x = 298,998 × 298,998
  4. Step 4: Simplify right side
    138,402x = 89,399,804,004
  5. Step 5: Solve for x
    x = 89,399,804,004/138,402
  6. Step 6: Final answer
    x = 645,943.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.