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Finding the Third Proportional to 162,184 and 249,427

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Solution

The third proportional to 162,184 and 249,427 is: 383,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,184 : 249,427 = 249,427 : x
  2. Step 2: Convert to fraction form
    162,184/249,427 = 249,427/x
  3. Step 3: Cross multiply
    162,184x = 249,427 × 249,427
  4. Step 4: Simplify right side
    162,184x = 62,213,828,329
  5. Step 5: Solve for x
    x = 62,213,828,329/162,184
  6. Step 6: Final answer
    x = 383,600.28

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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.