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Finding the Third Proportional to 133,071 and 288,289

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Solution

The third proportional to 133,071 and 288,289 is: 624,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071 : 288,289 = 288,289 : x
  2. Step 2: Convert to fraction form
    133,071/288,289 = 288,289/x
  3. Step 3: Cross multiply
    133,071x = 288,289 × 288,289
  4. Step 4: Simplify right side
    133,071x = 83,110,547,521
  5. Step 5: Solve for x
    x = 83,110,547,521/133,071
  6. Step 6: Final answer
    x = 624,557.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.