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Finding the Third Proportional to 103,445 and 241,746

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Solution

The third proportional to 103,445 and 241,746 is: 564,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,445 : 241,746 = 241,746 : x
  2. Step 2: Convert to fraction form
    103,445/241,746 = 241,746/x
  3. Step 3: Cross multiply
    103,445x = 241,746 × 241,746
  4. Step 4: Simplify right side
    103,445x = 58,441,128,516
  5. Step 5: Solve for x
    x = 58,441,128,516/103,445
  6. Step 6: Final answer
    x = 564,948.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.