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Finding the Third Proportional to 166,769 and 249,697.50

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Solution

The third proportional to 166,769 and 249,697.50 is: 373,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,769 : 249,697.50 = 249,697.50 : x
  2. Step 2: Convert to fraction form
    166,769/249,697.50 = 249,697.50/x
  3. Step 3: Cross multiply
    166,769x = 249,697.50 × 249,697.50
  4. Step 4: Simplify right side
    166,769x = 62,348,841,506.25
  5. Step 5: Solve for x
    x = 62,348,841,506.25/166,769
  6. Step 6: Final answer
    x = 373,863.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.