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Finding the Third Proportional to 202,460.50 and 314,301.75

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Solution

The third proportional to 202,460.50 and 314,301.75 is: 487,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,460.50 : 314,301.75 = 314,301.75 : x
  2. Step 2: Convert to fraction form
    202,460.50/314,301.75 = 314,301.75/x
  3. Step 3: Cross multiply
    202,460.50x = 314,301.75 × 314,301.75
  4. Step 4: Simplify right side
    202,460.50x = 98,785,590,053.06
  5. Step 5: Solve for x
    x = 98,785,590,053.06/202,460.50
  6. Step 6: Final answer
    x = 487,925.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.