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Finding the Third Proportional to 253,052 and 371,964

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Solution

The third proportional to 253,052 and 371,964 is: 546,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,052 : 371,964 = 371,964 : x
  2. Step 2: Convert to fraction form
    253,052/371,964 = 371,964/x
  3. Step 3: Cross multiply
    253,052x = 371,964 × 371,964
  4. Step 4: Simplify right side
    253,052x = 138,357,217,296
  5. Step 5: Solve for x
    x = 138,357,217,296/253,052
  6. Step 6: Final answer
    x = 546,754.10

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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.