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Finding the Third Proportional to 122,113 and 260,354

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Solution

The third proportional to 122,113 and 260,354 is: 555,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,113 : 260,354 = 260,354 : x
  2. Step 2: Convert to fraction form
    122,113/260,354 = 260,354/x
  3. Step 3: Cross multiply
    122,113x = 260,354 × 260,354
  4. Step 4: Simplify right side
    122,113x = 67,784,205,316
  5. Step 5: Solve for x
    x = 67,784,205,316/122,113
  6. Step 6: Final answer
    x = 555,094.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.