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Finding the Third Proportional to 162,706.50 and 380,126.25

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Solution

The third proportional to 162,706.50 and 380,126.25 is: 888,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,706.50 : 380,126.25 = 380,126.25 : x
  2. Step 2: Convert to fraction form
    162,706.50/380,126.25 = 380,126.25/x
  3. Step 3: Cross multiply
    162,706.50x = 380,126.25 × 380,126.25
  4. Step 4: Simplify right side
    162,706.50x = 144,495,965,939.06
  5. Step 5: Solve for x
    x = 144,495,965,939.06/162,706.50
  6. Step 6: Final answer
    x = 888,077.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.