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Finding the Third Proportional to 134,998 and 201,403

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Solution

The third proportional to 134,998 and 201,403 is: 300,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,998 : 201,403 = 201,403 : x
  2. Step 2: Convert to fraction form
    134,998/201,403 = 201,403/x
  3. Step 3: Cross multiply
    134,998x = 201,403 × 201,403
  4. Step 4: Simplify right side
    134,998x = 40,563,168,409
  5. Step 5: Solve for x
    x = 40,563,168,409/134,998
  6. Step 6: Final answer
    x = 300,472.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.