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Finding the Third Proportional to 210,360 and 315,636

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Solution

The third proportional to 210,360 and 315,636 is: 473,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,360 : 315,636 = 315,636 : x
  2. Step 2: Convert to fraction form
    210,360/315,636 = 315,636/x
  3. Step 3: Cross multiply
    210,360x = 315,636 × 315,636
  4. Step 4: Simplify right side
    210,360x = 99,626,084,496
  5. Step 5: Solve for x
    x = 99,626,084,496/210,360
  6. Step 6: Final answer
    x = 473,598.04

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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.