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Finding the Third Proportional to 162,440.25 and 251,038.50

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Solution

The third proportional to 162,440.25 and 251,038.50 is: 387,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,440.25 : 251,038.50 = 251,038.50 : x
  2. Step 2: Convert to fraction form
    162,440.25/251,038.50 = 251,038.50/x
  3. Step 3: Cross multiply
    162,440.25x = 251,038.50 × 251,038.50
  4. Step 4: Simplify right side
    162,440.25x = 63,020,328,482.25
  5. Step 5: Solve for x
    x = 63,020,328,482.25/162,440.25
  6. Step 6: Final answer
    x = 387,960.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.