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Finding the Third Proportional to 200,415 and 319,575

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Solution

The third proportional to 200,415 and 319,575 is: 509,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,415 : 319,575 = 319,575 : x
  2. Step 2: Convert to fraction form
    200,415/319,575 = 319,575/x
  3. Step 3: Cross multiply
    200,415x = 319,575 × 319,575
  4. Step 4: Simplify right side
    200,415x = 102,128,180,625
  5. Step 5: Solve for x
    x = 102,128,180,625/200,415
  6. Step 6: Final answer
    x = 509,583.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.