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Finding the Third Proportional to 136,352 and 297,964

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Solution

The third proportional to 136,352 and 297,964 is: 651,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,352 : 297,964 = 297,964 : x
  2. Step 2: Convert to fraction form
    136,352/297,964 = 297,964/x
  3. Step 3: Cross multiply
    136,352x = 297,964 × 297,964
  4. Step 4: Simplify right side
    136,352x = 88,782,545,296
  5. Step 5: Solve for x
    x = 88,782,545,296/136,352
  6. Step 6: Final answer
    x = 651,127.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.