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Finding the Third Proportional to 106,276 and 232,316

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Solution

The third proportional to 106,276 and 232,316 is: 507,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,276 : 232,316 = 232,316 : x
  2. Step 2: Convert to fraction form
    106,276/232,316 = 232,316/x
  3. Step 3: Cross multiply
    106,276x = 232,316 × 232,316
  4. Step 4: Simplify right side
    106,276x = 53,970,723,856
  5. Step 5: Solve for x
    x = 53,970,723,856/106,276
  6. Step 6: Final answer
    x = 507,835.48

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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.