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Finding the Third Proportional to 167,689.50 and 249,255

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Solution

The third proportional to 167,689.50 and 249,255 is: 370,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,689.50 : 249,255 = 249,255 : x
  2. Step 2: Convert to fraction form
    167,689.50/249,255 = 249,255/x
  3. Step 3: Cross multiply
    167,689.50x = 249,255 × 249,255
  4. Step 4: Simplify right side
    167,689.50x = 62,128,055,025
  5. Step 5: Solve for x
    x = 62,128,055,025/167,689.50
  6. Step 6: Final answer
    x = 370,494.60

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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.