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Finding the Third Proportional to 214,905 and 233,335

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Solution

The third proportional to 214,905 and 233,335 is: 253,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,905 : 233,335 = 233,335 : x
  2. Step 2: Convert to fraction form
    214,905/233,335 = 233,335/x
  3. Step 3: Cross multiply
    214,905x = 233,335 × 233,335
  4. Step 4: Simplify right side
    214,905x = 54,445,222,225
  5. Step 5: Solve for x
    x = 54,445,222,225/214,905
  6. Step 6: Final answer
    x = 253,345.54

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.