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Finding the Third Proportional to 245,306 and 359,881

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Solution

The third proportional to 245,306 and 359,881 is: 527,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,306 : 359,881 = 359,881 : x
  2. Step 2: Convert to fraction form
    245,306/359,881 = 359,881/x
  3. Step 3: Cross multiply
    245,306x = 359,881 × 359,881
  4. Step 4: Simplify right side
    245,306x = 129,514,334,161
  5. Step 5: Solve for x
    x = 129,514,334,161/245,306
  6. Step 6: Final answer
    x = 527,970.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.