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Finding the Third Proportional to 118,045.27 and 257,700.02

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Solution

The third proportional to 118,045.27 and 257,700.02 is: 562,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,045.27 : 257,700.02 = 257,700.02 : x
  2. Step 2: Convert to fraction form
    118,045.27/257,700.02 = 257,700.02/x
  3. Step 3: Cross multiply
    118,045.27x = 257,700.02 × 257,700.02
  4. Step 4: Simplify right side
    118,045.27x = 66,409,302,079.69
  5. Step 5: Solve for x
    x = 66,409,302,079.69/118,045.27
  6. Step 6: Final answer
    x = 562,574.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.