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Finding the Third Proportional to 201,282 and 318,322.50

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Solution

The third proportional to 201,282 and 318,322.50 is: 503,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,282 : 318,322.50 = 318,322.50 : x
  2. Step 2: Convert to fraction form
    201,282/318,322.50 = 318,322.50/x
  3. Step 3: Cross multiply
    201,282x = 318,322.50 × 318,322.50
  4. Step 4: Simplify right side
    201,282x = 101,329,214,006.25
  5. Step 5: Solve for x
    x = 101,329,214,006.25/201,282
  6. Step 6: Final answer
    x = 503,419.15

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.