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Finding the Third Proportional to 248,966 and 357,897

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Solution

The third proportional to 248,966 and 357,897 is: 514,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,966 : 357,897 = 357,897 : x
  2. Step 2: Convert to fraction form
    248,966/357,897 = 357,897/x
  3. Step 3: Cross multiply
    248,966x = 357,897 × 357,897
  4. Step 4: Simplify right side
    248,966x = 128,090,262,609
  5. Step 5: Solve for x
    x = 128,090,262,609/248,966
  6. Step 6: Final answer
    x = 514,488.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.