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Finding the Third Proportional to 158,480 and 337,312

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Solution

The third proportional to 158,480 and 337,312 is: 717,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,480 : 337,312 = 337,312 : x
  2. Step 2: Convert to fraction form
    158,480/337,312 = 337,312/x
  3. Step 3: Cross multiply
    158,480x = 337,312 × 337,312
  4. Step 4: Simplify right side
    158,480x = 113,779,385,344
  5. Step 5: Solve for x
    x = 113,779,385,344/158,480
  6. Step 6: Final answer
    x = 717,941.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.