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Finding the Third Proportional to 239,913 and 358,548

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Solution

The third proportional to 239,913 and 358,548 is: 535,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,913 : 358,548 = 358,548 : x
  2. Step 2: Convert to fraction form
    239,913/358,548 = 358,548/x
  3. Step 3: Cross multiply
    239,913x = 358,548 × 358,548
  4. Step 4: Simplify right side
    239,913x = 128,556,668,304
  5. Step 5: Solve for x
    x = 128,556,668,304/239,913
  6. Step 6: Final answer
    x = 535,847.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.