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Finding the Third Proportional to 245,368 and 359,951

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Solution

The third proportional to 245,368 and 359,951 is: 528,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,368 : 359,951 = 359,951 : x
  2. Step 2: Convert to fraction form
    245,368/359,951 = 359,951/x
  3. Step 3: Cross multiply
    245,368x = 359,951 × 359,951
  4. Step 4: Simplify right side
    245,368x = 129,564,722,401
  5. Step 5: Solve for x
    x = 129,564,722,401/245,368
  6. Step 6: Final answer
    x = 528,042.46

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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.