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Finding the Third Proportional to 243,088.50 and 367,986

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Solution

The third proportional to 243,088.50 and 367,986 is: 557,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,088.50 : 367,986 = 367,986 : x
  2. Step 2: Convert to fraction form
    243,088.50/367,986 = 367,986/x
  3. Step 3: Cross multiply
    243,088.50x = 367,986 × 367,986
  4. Step 4: Simplify right side
    243,088.50x = 135,413,696,196
  5. Step 5: Solve for x
    x = 135,413,696,196/243,088.50
  6. Step 6: Final answer
    x = 557,055.13

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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.