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Finding the Third Proportional to 110,835 and 237,423

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Solution

The third proportional to 110,835 and 237,423 is: 508,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,835 : 237,423 = 237,423 : x
  2. Step 2: Convert to fraction form
    110,835/237,423 = 237,423/x
  3. Step 3: Cross multiply
    110,835x = 237,423 × 237,423
  4. Step 4: Simplify right side
    110,835x = 56,369,680,929
  5. Step 5: Solve for x
    x = 56,369,680,929/110,835
  6. Step 6: Final answer
    x = 508,590.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.