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Finding the Third Proportional to 118,337 and 257,410

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Solution

The third proportional to 118,337 and 257,410 is: 559,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,337 : 257,410 = 257,410 : x
  2. Step 2: Convert to fraction form
    118,337/257,410 = 257,410/x
  3. Step 3: Cross multiply
    118,337x = 257,410 × 257,410
  4. Step 4: Simplify right side
    118,337x = 66,259,908,100
  5. Step 5: Solve for x
    x = 66,259,908,100/118,337
  6. Step 6: Final answer
    x = 559,925.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.