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Finding the Third Proportional to 201,598.50 and 291,421.50

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Solution

The third proportional to 201,598.50 and 291,421.50 is: 421,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,598.50 : 291,421.50 = 291,421.50 : x
  2. Step 2: Convert to fraction form
    201,598.50/291,421.50 = 291,421.50/x
  3. Step 3: Cross multiply
    201,598.50x = 291,421.50 × 291,421.50
  4. Step 4: Simplify right side
    201,598.50x = 84,926,490,662.25
  5. Step 5: Solve for x
    x = 84,926,490,662.25/201,598.50
  6. Step 6: Final answer
    x = 421,265.49

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.