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Finding the Third Proportional to 245,295 and 359,865

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Solution

The third proportional to 245,295 and 359,865 is: 527,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,295 : 359,865 = 359,865 : x
  2. Step 2: Convert to fraction form
    245,295/359,865 = 359,865/x
  3. Step 3: Cross multiply
    245,295x = 359,865 × 359,865
  4. Step 4: Simplify right side
    245,295x = 129,502,818,225
  5. Step 5: Solve for x
    x = 129,502,818,225/245,295
  6. Step 6: Final answer
    x = 527,947.24

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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.