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Finding the Third Proportional to 237,621 and 345,730.50

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Solution

The third proportional to 237,621 and 345,730.50 is: 503,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,621 : 345,730.50 = 345,730.50 : x
  2. Step 2: Convert to fraction form
    237,621/345,730.50 = 345,730.50/x
  3. Step 3: Cross multiply
    237,621x = 345,730.50 × 345,730.50
  4. Step 4: Simplify right side
    237,621x = 119,529,578,630.25
  5. Step 5: Solve for x
    x = 119,529,578,630.25/237,621
  6. Step 6: Final answer
    x = 503,026.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.