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Finding the Third Proportional to 177,511.50 and 249,682.50

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Solution

The third proportional to 177,511.50 and 249,682.50 is: 351,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,511.50 : 249,682.50 = 249,682.50 : x
  2. Step 2: Convert to fraction form
    177,511.50/249,682.50 = 249,682.50/x
  3. Step 3: Cross multiply
    177,511.50x = 249,682.50 × 249,682.50
  4. Step 4: Simplify right side
    177,511.50x = 62,341,350,806.25
  5. Step 5: Solve for x
    x = 62,341,350,806.25/177,511.50
  6. Step 6: Final answer
    x = 351,196.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.