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Finding the Third Proportional to 213,738.75 and 333,547.88

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Solution

The third proportional to 213,738.75 and 333,547.88 is: 520,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,738.75 : 333,547.88 = 333,547.88 : x
  2. Step 2: Convert to fraction form
    213,738.75/333,547.88 = 333,547.88/x
  3. Step 3: Cross multiply
    213,738.75x = 333,547.88 × 333,547.88
  4. Step 4: Simplify right side
    213,738.75x = 111,254,184,917.02
  5. Step 5: Solve for x
    x = 111,254,184,917.02/213,738.75
  6. Step 6: Final answer
    x = 520,514.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.