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Finding the Third Proportional to 206,421.19 and 314,968.50

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Solution

The third proportional to 206,421.19 and 314,968.50 is: 480,595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421.19 : 314,968.50 = 314,968.50 : x
  2. Step 2: Convert to fraction form
    206,421.19/314,968.50 = 314,968.50/x
  3. Step 3: Cross multiply
    206,421.19x = 314,968.50 × 314,968.50
  4. Step 4: Simplify right side
    206,421.19x = 99,205,155,992.25
  5. Step 5: Solve for x
    x = 99,205,155,992.25/206,421.19
  6. Step 6: Final answer
    x = 480,595.80

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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.