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Finding the Third Proportional to 202,477.50 and 314,328

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Solution

The third proportional to 202,477.50 and 314,328 is: 487,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,477.50 : 314,328 = 314,328 : x
  2. Step 2: Convert to fraction form
    202,477.50/314,328 = 314,328/x
  3. Step 3: Cross multiply
    202,477.50x = 314,328 × 314,328
  4. Step 4: Simplify right side
    202,477.50x = 98,802,091,584
  5. Step 5: Solve for x
    x = 98,802,091,584/202,477.50
  6. Step 6: Final answer
    x = 487,965.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.