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Finding the Third Proportional to 250,026 and 375,066

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Solution

The third proportional to 250,026 and 375,066 is: 562,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,026 : 375,066 = 375,066 : x
  2. Step 2: Convert to fraction form
    250,026/375,066 = 375,066/x
  3. Step 3: Cross multiply
    250,026x = 375,066 × 375,066
  4. Step 4: Simplify right side
    250,026x = 140,674,504,356
  5. Step 5: Solve for x
    x = 140,674,504,356/250,026
  6. Step 6: Final answer
    x = 562,639.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.