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Finding the Third Proportional to 167,688 and 249,252.75

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Solution

The third proportional to 167,688 and 249,252.75 is: 370,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,688 : 249,252.75 = 249,252.75 : x
  2. Step 2: Convert to fraction form
    167,688/249,252.75 = 249,252.75/x
  3. Step 3: Cross multiply
    167,688x = 249,252.75 × 249,252.75
  4. Step 4: Simplify right side
    167,688x = 62,126,933,382.56
  5. Step 5: Solve for x
    x = 62,126,933,382.56/167,688
  6. Step 6: Final answer
    x = 370,491.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.