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Finding the Third Proportional to 134,229 and 294,291.75

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Solution

The third proportional to 134,229 and 294,291.75 is: 645,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,229 : 294,291.75 = 294,291.75 : x
  2. Step 2: Convert to fraction form
    134,229/294,291.75 = 294,291.75/x
  3. Step 3: Cross multiply
    134,229x = 294,291.75 × 294,291.75
  4. Step 4: Simplify right side
    134,229x = 86,607,634,118.06
  5. Step 5: Solve for x
    x = 86,607,634,118.06/134,229
  6. Step 6: Final answer
    x = 645,222.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.