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Finding the Third Proportional to 250,020 and 357,268.50

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Solution

The third proportional to 250,020 and 357,268.50 is: 510,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,020 : 357,268.50 = 357,268.50 : x
  2. Step 2: Convert to fraction form
    250,020/357,268.50 = 357,268.50/x
  3. Step 3: Cross multiply
    250,020x = 357,268.50 × 357,268.50
  4. Step 4: Simplify right side
    250,020x = 127,640,781,092.25
  5. Step 5: Solve for x
    x = 127,640,781,092.25/250,020
  6. Step 6: Final answer
    x = 510,522.28

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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.