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Finding the Third Proportional to 175,557.38 and 264,886.88

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Solution

The third proportional to 175,557.38 and 264,886.88 is: 399,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,557.38 : 264,886.88 = 264,886.88 : x
  2. Step 2: Convert to fraction form
    175,557.38/264,886.88 = 264,886.88/x
  3. Step 3: Cross multiply
    175,557.38x = 264,886.88 × 264,886.88
  4. Step 4: Simplify right side
    175,557.38x = 70,165,056,547.27
  5. Step 5: Solve for x
    x = 70,165,056,547.27/175,557.38
  6. Step 6: Final answer
    x = 399,670.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.