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Finding the Third Proportional to 210,536 and 304,748

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Solution

The third proportional to 210,536 and 304,748 is: 441,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,536 : 304,748 = 304,748 : x
  2. Step 2: Convert to fraction form
    210,536/304,748 = 304,748/x
  3. Step 3: Cross multiply
    210,536x = 304,748 × 304,748
  4. Step 4: Simplify right side
    210,536x = 92,871,343,504
  5. Step 5: Solve for x
    x = 92,871,343,504/210,536
  6. Step 6: Final answer
    x = 441,118.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.