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Finding the Third Proportional to 136,328 and 297,440

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Solution

The third proportional to 136,328 and 297,440 is: 648,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,328 : 297,440 = 297,440 : x
  2. Step 2: Convert to fraction form
    136,328/297,440 = 297,440/x
  3. Step 3: Cross multiply
    136,328x = 297,440 × 297,440
  4. Step 4: Simplify right side
    136,328x = 88,470,553,600
  5. Step 5: Solve for x
    x = 88,470,553,600/136,328
  6. Step 6: Final answer
    x = 648,953.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.