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Finding the Third Proportional to 194,748 and 294,229

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Solution

The third proportional to 194,748 and 294,229 is: 444,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,748 : 294,229 = 294,229 : x
  2. Step 2: Convert to fraction form
    194,748/294,229 = 294,229/x
  3. Step 3: Cross multiply
    194,748x = 294,229 × 294,229
  4. Step 4: Simplify right side
    194,748x = 86,570,704,441
  5. Step 5: Solve for x
    x = 86,570,704,441/194,748
  6. Step 6: Final answer
    x = 444,526.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.