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Finding the Third Proportional to 190,728.56 and 288,547.88

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Solution

The third proportional to 190,728.56 and 288,547.88 is: 436,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,728.56 : 288,547.88 = 288,547.88 : x
  2. Step 2: Convert to fraction form
    190,728.56/288,547.88 = 288,547.88/x
  3. Step 3: Cross multiply
    190,728.56x = 288,547.88 × 288,547.88
  4. Step 4: Simplify right side
    190,728.56x = 83,259,876,167.02
  5. Step 5: Solve for x
    x = 83,259,876,167.02/190,728.56
  6. Step 6: Final answer
    x = 436,535.96

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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.