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Finding the Third Proportional to 237,819 and 348,196

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Solution

The third proportional to 237,819 and 348,196 is: 509,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,819 : 348,196 = 348,196 : x
  2. Step 2: Convert to fraction form
    237,819/348,196 = 348,196/x
  3. Step 3: Cross multiply
    237,819x = 348,196 × 348,196
  4. Step 4: Simplify right side
    237,819x = 121,240,454,416
  5. Step 5: Solve for x
    x = 121,240,454,416/237,819
  6. Step 6: Final answer
    x = 509,801.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.