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Finding the Third Proportional to 250,064 and 357,320

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Solution

The third proportional to 250,064 and 357,320 is: 510,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,064 : 357,320 = 357,320 : x
  2. Step 2: Convert to fraction form
    250,064/357,320 = 357,320/x
  3. Step 3: Cross multiply
    250,064x = 357,320 × 357,320
  4. Step 4: Simplify right side
    250,064x = 127,677,582,400
  5. Step 5: Solve for x
    x = 127,677,582,400/250,064
  6. Step 6: Final answer
    x = 510,579.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.