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Finding the Third Proportional to 210,297.94 and 316,288.13

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Solution

The third proportional to 210,297.94 and 316,288.13 is: 475,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,297.94 : 316,288.13 = 316,288.13 : x
  2. Step 2: Convert to fraction form
    210,297.94/316,288.13 = 316,288.13/x
  3. Step 3: Cross multiply
    210,297.94x = 316,288.13 × 316,288.13
  4. Step 4: Simplify right side
    210,297.94x = 100,038,178,016.02
  5. Step 5: Solve for x
    x = 100,038,178,016.02/210,297.94
  6. Step 6: Final answer
    x = 475,697.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.