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Finding the Third Proportional to 205,119 and 314,860.50

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Solution

The third proportional to 205,119 and 314,860.50 is: 483,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,119 : 314,860.50 = 314,860.50 : x
  2. Step 2: Convert to fraction form
    205,119/314,860.50 = 314,860.50/x
  3. Step 3: Cross multiply
    205,119x = 314,860.50 × 314,860.50
  4. Step 4: Simplify right side
    205,119x = 99,137,134,460.25
  5. Step 5: Solve for x
    x = 99,137,134,460.25/205,119
  6. Step 6: Final answer
    x = 483,315.22

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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.