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Finding the Third Proportional to 209,746.25 and 314,642

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Solution

The third proportional to 209,746.25 and 314,642 is: 471,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,746.25 : 314,642 = 314,642 : x
  2. Step 2: Convert to fraction form
    209,746.25/314,642 = 314,642/x
  3. Step 3: Cross multiply
    209,746.25x = 314,642 × 314,642
  4. Step 4: Simplify right side
    209,746.25x = 98,999,588,164
  5. Step 5: Solve for x
    x = 98,999,588,164/209,746.25
  6. Step 6: Final answer
    x = 471,996.94

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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.