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Finding the Third Proportional to 203,604 and 307,492.50

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Solution

The third proportional to 203,604 and 307,492.50 is: 464,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,604 : 307,492.50 = 307,492.50 : x
  2. Step 2: Convert to fraction form
    203,604/307,492.50 = 307,492.50/x
  3. Step 3: Cross multiply
    203,604x = 307,492.50 × 307,492.50
  4. Step 4: Simplify right side
    203,604x = 94,551,637,556.25
  5. Step 5: Solve for x
    x = 94,551,637,556.25/203,604
  6. Step 6: Final answer
    x = 464,389.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.