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Finding the Third Proportional to 205,094 and 314,823

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Solution

The third proportional to 205,094 and 314,823 is: 483,259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,094 : 314,823 = 314,823 : x
  2. Step 2: Convert to fraction form
    205,094/314,823 = 314,823/x
  3. Step 3: Cross multiply
    205,094x = 314,823 × 314,823
  4. Step 4: Simplify right side
    205,094x = 99,113,521,329
  5. Step 5: Solve for x
    x = 99,113,521,329/205,094
  6. Step 6: Final answer
    x = 483,259.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.