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Finding the Third Proportional to 167,710 and 249,280

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Solution

The third proportional to 167,710 and 249,280 is: 370,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,710 : 249,280 = 249,280 : x
  2. Step 2: Convert to fraction form
    167,710/249,280 = 249,280/x
  3. Step 3: Cross multiply
    167,710x = 249,280 × 249,280
  4. Step 4: Simplify right side
    167,710x = 62,140,518,400
  5. Step 5: Solve for x
    x = 62,140,518,400/167,710
  6. Step 6: Final answer
    x = 370,523.63

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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.