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Finding the Third Proportional to 195,044 and 291,290

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Solution

The third proportional to 195,044 and 291,290 is: 435,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,044 : 291,290 = 291,290 : x
  2. Step 2: Convert to fraction form
    195,044/291,290 = 291,290/x
  3. Step 3: Cross multiply
    195,044x = 291,290 × 291,290
  4. Step 4: Simplify right side
    195,044x = 84,849,864,100
  5. Step 5: Solve for x
    x = 84,849,864,100/195,044
  6. Step 6: Final answer
    x = 435,029.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.