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Finding the Third Proportional to 210,033 and 334,044

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Solution

The third proportional to 210,033 and 334,044 is: 531,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,033 : 334,044 = 334,044 : x
  2. Step 2: Convert to fraction form
    210,033/334,044 = 334,044/x
  3. Step 3: Cross multiply
    210,033x = 334,044 × 334,044
  4. Step 4: Simplify right side
    210,033x = 111,585,393,936
  5. Step 5: Solve for x
    x = 111,585,393,936/210,033
  6. Step 6: Final answer
    x = 531,275.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.