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Finding the Third Proportional to 255,969 and 344,587

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Solution

The third proportional to 255,969 and 344,587 is: 463,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,969 : 344,587 = 344,587 : x
  2. Step 2: Convert to fraction form
    255,969/344,587 = 344,587/x
  3. Step 3: Cross multiply
    255,969x = 344,587 × 344,587
  4. Step 4: Simplify right side
    255,969x = 118,740,200,569
  5. Step 5: Solve for x
    x = 118,740,200,569/255,969
  6. Step 6: Final answer
    x = 463,885.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.