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Finding the Third Proportional to 162,948 and 353,544

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Solution

The third proportional to 162,948 and 353,544 is: 767,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,948 : 353,544 = 353,544 : x
  2. Step 2: Convert to fraction form
    162,948/353,544 = 353,544/x
  3. Step 3: Cross multiply
    162,948x = 353,544 × 353,544
  4. Step 4: Simplify right side
    162,948x = 124,993,359,936
  5. Step 5: Solve for x
    x = 124,993,359,936/162,948
  6. Step 6: Final answer
    x = 767,075.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.