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Finding the Third Proportional to 253,116 and 375,783

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Solution

The third proportional to 253,116 and 375,783 is: 557,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,116 : 375,783 = 375,783 : x
  2. Step 2: Convert to fraction form
    253,116/375,783 = 375,783/x
  3. Step 3: Cross multiply
    253,116x = 375,783 × 375,783
  4. Step 4: Simplify right side
    253,116x = 141,212,863,089
  5. Step 5: Solve for x
    x = 141,212,863,089/253,116
  6. Step 6: Final answer
    x = 557,897.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.