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Finding the Third Proportional to 235,087.50 and 509,541

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Solution

The third proportional to 235,087.50 and 509,541 is: 1,104,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,087.50 : 509,541 = 509,541 : x
  2. Step 2: Convert to fraction form
    235,087.50/509,541 = 509,541/x
  3. Step 3: Cross multiply
    235,087.50x = 509,541 × 509,541
  4. Step 4: Simplify right side
    235,087.50x = 259,632,030,681
  5. Step 5: Solve for x
    x = 259,632,030,681/235,087.50
  6. Step 6: Final answer
    x = 1,104,405.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.