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Finding the Third Proportional to 124,628 and 264,835

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Solution

The third proportional to 124,628 and 264,835 is: 562,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,628 : 264,835 = 264,835 : x
  2. Step 2: Convert to fraction form
    124,628/264,835 = 264,835/x
  3. Step 3: Cross multiply
    124,628x = 264,835 × 264,835
  4. Step 4: Simplify right side
    124,628x = 70,137,577,225
  5. Step 5: Solve for x
    x = 70,137,577,225/124,628
  6. Step 6: Final answer
    x = 562,775.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.