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Finding the Third Proportional to 153,210 and 233,058

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Solution

The third proportional to 153,210 and 233,058 is: 354,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,210 : 233,058 = 233,058 : x
  2. Step 2: Convert to fraction form
    153,210/233,058 = 233,058/x
  3. Step 3: Cross multiply
    153,210x = 233,058 × 233,058
  4. Step 4: Simplify right side
    153,210x = 54,316,031,364
  5. Step 5: Solve for x
    x = 54,316,031,364/153,210
  6. Step 6: Final answer
    x = 354,520.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.