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Finding the Third Proportional to 162,998 and 249,342

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Solution

The third proportional to 162,998 and 249,342 is: 381,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,998 : 249,342 = 249,342 : x
  2. Step 2: Convert to fraction form
    162,998/249,342 = 249,342/x
  3. Step 3: Cross multiply
    162,998x = 249,342 × 249,342
  4. Step 4: Simplify right side
    162,998x = 62,171,432,964
  5. Step 5: Solve for x
    x = 62,171,432,964/162,998
  6. Step 6: Final answer
    x = 381,424.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.