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Finding the Third Proportional to 208,741.50 and 312,566.25

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Solution

The third proportional to 208,741.50 and 312,566.25 is: 468,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,741.50 : 312,566.25 = 312,566.25 : x
  2. Step 2: Convert to fraction form
    208,741.50/312,566.25 = 312,566.25/x
  3. Step 3: Cross multiply
    208,741.50x = 312,566.25 × 312,566.25
  4. Step 4: Simplify right side
    208,741.50x = 97,697,660,639.06
  5. Step 5: Solve for x
    x = 97,697,660,639.06/208,741.50
  6. Step 6: Final answer
    x = 468,031.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.