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Finding the Third Proportional to 119,207 and 257,773

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Solution

The third proportional to 119,207 and 257,773 is: 557,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,207 : 257,773 = 257,773 : x
  2. Step 2: Convert to fraction form
    119,207/257,773 = 257,773/x
  3. Step 3: Cross multiply
    119,207x = 257,773 × 257,773
  4. Step 4: Simplify right side
    119,207x = 66,446,919,529
  5. Step 5: Solve for x
    x = 66,446,919,529/119,207
  6. Step 6: Final answer
    x = 557,407.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.