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Finding the Third Proportional to 214,701.89 and 315,526.01

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Solution

The third proportional to 214,701.89 and 315,526.01 is: 463,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,701.89 : 315,526.01 = 315,526.01 : x
  2. Step 2: Convert to fraction form
    214,701.89/315,526.01 = 315,526.01/x
  3. Step 3: Cross multiply
    214,701.89x = 315,526.01 × 315,526.01
  4. Step 4: Simplify right side
    214,701.89x = 99,556,661,606.09
  5. Step 5: Solve for x
    x = 99,556,661,606.09/214,701.89
  6. Step 6: Final answer
    x = 463,697.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.