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Finding the Third Proportional to 207,332.16 and 312,456.23

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Solution

The third proportional to 207,332.16 and 312,456.23 is: 470,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,332.16 : 312,456.23 = 312,456.23 : x
  2. Step 2: Convert to fraction form
    207,332.16/312,456.23 = 312,456.23/x
  3. Step 3: Cross multiply
    207,332.16x = 312,456.23 × 312,456.23
  4. Step 4: Simplify right side
    207,332.16x = 97,628,898,399.80
  5. Step 5: Solve for x
    x = 97,628,898,399.80/207,332.16
  6. Step 6: Final answer
    x = 470,881.60

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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.