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Finding the Third Proportional to 215,222.06 and 316,256.91

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Solution

The third proportional to 215,222.06 and 316,256.91 is: 464,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,222.06 : 316,256.91 = 316,256.91 : x
  2. Step 2: Convert to fraction form
    215,222.06/316,256.91 = 316,256.91/x
  3. Step 3: Cross multiply
    215,222.06x = 316,256.91 × 316,256.91
  4. Step 4: Simplify right side
    215,222.06x = 100,018,430,750.82
  5. Step 5: Solve for x
    x = 100,018,430,750.82/215,222.06
  6. Step 6: Final answer
    x = 464,722.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.