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Finding the Third Proportional to 166,762.50 and 249,688

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Solution

The third proportional to 166,762.50 and 249,688 is: 373,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,762.50 : 249,688 = 249,688 : x
  2. Step 2: Convert to fraction form
    166,762.50/249,688 = 249,688/x
  3. Step 3: Cross multiply
    166,762.50x = 249,688 × 249,688
  4. Step 4: Simplify right side
    166,762.50x = 62,344,097,344
  5. Step 5: Solve for x
    x = 62,344,097,344/166,762.50
  6. Step 6: Final answer
    x = 373,849.62

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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.