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Finding the Third Proportional to 162,279 and 249,586.50

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Solution

The third proportional to 162,279 and 249,586.50 is: 383,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,279 : 249,586.50 = 249,586.50 : x
  2. Step 2: Convert to fraction form
    162,279/249,586.50 = 249,586.50/x
  3. Step 3: Cross multiply
    162,279x = 249,586.50 × 249,586.50
  4. Step 4: Simplify right side
    162,279x = 62,293,420,982.25
  5. Step 5: Solve for x
    x = 62,293,420,982.25/162,279
  6. Step 6: Final answer
    x = 383,866.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.