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Finding the Third Proportional to 199,417.50 and 430,526.25

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Solution

The third proportional to 199,417.50 and 430,526.25 is: 929,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,417.50 : 430,526.25 = 430,526.25 : x
  2. Step 2: Convert to fraction form
    199,417.50/430,526.25 = 430,526.25/x
  3. Step 3: Cross multiply
    199,417.50x = 430,526.25 × 430,526.25
  4. Step 4: Simplify right side
    199,417.50x = 185,352,851,939.06
  5. Step 5: Solve for x
    x = 185,352,851,939.06/199,417.50
  6. Step 6: Final answer
    x = 929,471.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.