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Finding the Third Proportional to 175,585.50 and 385,347.75

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Solution

The third proportional to 175,585.50 and 385,347.75 is: 845,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,585.50 : 385,347.75 = 385,347.75 : x
  2. Step 2: Convert to fraction form
    175,585.50/385,347.75 = 385,347.75/x
  3. Step 3: Cross multiply
    175,585.50x = 385,347.75 × 385,347.75
  4. Step 4: Simplify right side
    175,585.50x = 148,492,888,430.06
  5. Step 5: Solve for x
    x = 148,492,888,430.06/175,585.50
  6. Step 6: Final answer
    x = 845,701.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.