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Finding the Third Proportional to 245,302 and 359,877

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Solution

The third proportional to 245,302 and 359,877 is: 527,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,302 : 359,877 = 359,877 : x
  2. Step 2: Convert to fraction form
    245,302/359,877 = 359,877/x
  3. Step 3: Cross multiply
    245,302x = 359,877 × 359,877
  4. Step 4: Simplify right side
    245,302x = 129,511,455,129
  5. Step 5: Solve for x
    x = 129,511,455,129/245,302
  6. Step 6: Final answer
    x = 527,967.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.