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Finding the Third Proportional to 162,994 and 249,332

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Solution

The third proportional to 162,994 and 249,332 is: 381,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,994 : 249,332 = 249,332 : x
  2. Step 2: Convert to fraction form
    162,994/249,332 = 249,332/x
  3. Step 3: Cross multiply
    162,994x = 249,332 × 249,332
  4. Step 4: Simplify right side
    162,994x = 62,166,446,224
  5. Step 5: Solve for x
    x = 62,166,446,224/162,994
  6. Step 6: Final answer
    x = 381,403.28

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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.