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Finding the Third Proportional to 238,335 and 371,565

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Solution

The third proportional to 238,335 and 371,565 is: 579,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,335 : 371,565 = 371,565 : x
  2. Step 2: Convert to fraction form
    238,335/371,565 = 371,565/x
  3. Step 3: Cross multiply
    238,335x = 371,565 × 371,565
  4. Step 4: Simplify right side
    238,335x = 138,060,549,225
  5. Step 5: Solve for x
    x = 138,060,549,225/238,335
  6. Step 6: Final answer
    x = 579,270.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.