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Finding the Third Proportional to 191,653.91 and 295,477.08

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Solution

The third proportional to 191,653.91 and 295,477.08 is: 455,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,653.91 : 295,477.08 = 295,477.08 : x
  2. Step 2: Convert to fraction form
    191,653.91/295,477.08 = 295,477.08/x
  3. Step 3: Cross multiply
    191,653.91x = 295,477.08 × 295,477.08
  4. Step 4: Simplify right side
    191,653.91x = 87,306,707,159.91
  5. Step 5: Solve for x
    x = 87,306,707,159.91/191,653.91
  6. Step 6: Final answer
    x = 455,543.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.