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Finding the Third Proportional to 203,547.94 and 292,106.25

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Solution

The third proportional to 203,547.94 and 292,106.25 is: 419,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,547.94 : 292,106.25 = 292,106.25 : x
  2. Step 2: Convert to fraction form
    203,547.94/292,106.25 = 292,106.25/x
  3. Step 3: Cross multiply
    203,547.94x = 292,106.25 × 292,106.25
  4. Step 4: Simplify right side
    203,547.94x = 85,326,061,289.06
  5. Step 5: Solve for x
    x = 85,326,061,289.06/203,547.94
  6. Step 6: Final answer
    x = 419,193.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.