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Finding the Third Proportional to 205,032 and 313,428

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Solution

The third proportional to 205,032 and 313,428 is: 479,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,032 : 313,428 = 313,428 : x
  2. Step 2: Convert to fraction form
    205,032/313,428 = 313,428/x
  3. Step 3: Cross multiply
    205,032x = 313,428 × 313,428
  4. Step 4: Simplify right side
    205,032x = 98,237,111,184
  5. Step 5: Solve for x
    x = 98,237,111,184/205,032
  6. Step 6: Final answer
    x = 479,130.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.