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Finding the Third Proportional to 201,072 and 294,841

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Solution

The third proportional to 201,072 and 294,841 is: 432,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,072 : 294,841 = 294,841 : x
  2. Step 2: Convert to fraction form
    201,072/294,841 = 294,841/x
  3. Step 3: Cross multiply
    201,072x = 294,841 × 294,841
  4. Step 4: Simplify right side
    201,072x = 86,931,215,281
  5. Step 5: Solve for x
    x = 86,931,215,281/201,072
  6. Step 6: Final answer
    x = 432,338.74

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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.