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Finding the Third Proportional to 167,700 and 249,268.50

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Solution

The third proportional to 167,700 and 249,268.50 is: 370,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,700 : 249,268.50 = 249,268.50 : x
  2. Step 2: Convert to fraction form
    167,700/249,268.50 = 249,268.50/x
  3. Step 3: Cross multiply
    167,700x = 249,268.50 × 249,268.50
  4. Step 4: Simplify right side
    167,700x = 62,134,785,092.25
  5. Step 5: Solve for x
    x = 62,134,785,092.25/167,700
  6. Step 6: Final answer
    x = 370,511.54

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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.