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Finding the Third Proportional to 102,973 and 240,575

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Solution

The third proportional to 102,973 and 240,575 is: 562,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,973 : 240,575 = 240,575 : x
  2. Step 2: Convert to fraction form
    102,973/240,575 = 240,575/x
  3. Step 3: Cross multiply
    102,973x = 240,575 × 240,575
  4. Step 4: Simplify right side
    102,973x = 57,876,330,625
  5. Step 5: Solve for x
    x = 57,876,330,625/102,973
  6. Step 6: Final answer
    x = 562,053.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.