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Finding the Third Proportional to 250,034 and 375,078

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Solution

The third proportional to 250,034 and 375,078 is: 562,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,034 : 375,078 = 375,078 : x
  2. Step 2: Convert to fraction form
    250,034/375,078 = 375,078/x
  3. Step 3: Cross multiply
    250,034x = 375,078 × 375,078
  4. Step 4: Simplify right side
    250,034x = 140,683,506,084
  5. Step 5: Solve for x
    x = 140,683,506,084/250,034
  6. Step 6: Final answer
    x = 562,657.50

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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.