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Finding the Third Proportional to 162,841.50 and 358,813

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Solution

The third proportional to 162,841.50 and 358,813 is: 790,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,841.50 : 358,813 = 358,813 : x
  2. Step 2: Convert to fraction form
    162,841.50/358,813 = 358,813/x
  3. Step 3: Cross multiply
    162,841.50x = 358,813 × 358,813
  4. Step 4: Simplify right side
    162,841.50x = 128,746,768,969
  5. Step 5: Solve for x
    x = 128,746,768,969/162,841.50
  6. Step 6: Final answer
    x = 790,626.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.