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Finding the Third Proportional to 215,495 and 341,058

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Solution

The third proportional to 215,495 and 341,058 is: 539,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,495 : 341,058 = 341,058 : x
  2. Step 2: Convert to fraction form
    215,495/341,058 = 341,058/x
  3. Step 3: Cross multiply
    215,495x = 341,058 × 341,058
  4. Step 4: Simplify right side
    215,495x = 116,320,559,364
  5. Step 5: Solve for x
    x = 116,320,559,364/215,495
  6. Step 6: Final answer
    x = 539,783.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.