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Finding the Third Proportional to 134,924.50 and 201,293

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Solution

The third proportional to 134,924.50 and 201,293 is: 300,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,924.50 : 201,293 = 201,293 : x
  2. Step 2: Convert to fraction form
    134,924.50/201,293 = 201,293/x
  3. Step 3: Cross multiply
    134,924.50x = 201,293 × 201,293
  4. Step 4: Simplify right side
    134,924.50x = 40,518,871,849
  5. Step 5: Solve for x
    x = 40,518,871,849/134,924.50
  6. Step 6: Final answer
    x = 300,307.74

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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.