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Finding the Third Proportional to 114,612.47 and 251,915.06

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Solution

The third proportional to 114,612.47 and 251,915.06 is: 553,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,612.47 : 251,915.06 = 251,915.06 : x
  2. Step 2: Convert to fraction form
    114,612.47/251,915.06 = 251,915.06/x
  3. Step 3: Cross multiply
    114,612.47x = 251,915.06 × 251,915.06
  4. Step 4: Simplify right side
    114,612.47x = 63,461,198,714.38
  5. Step 5: Solve for x
    x = 63,461,198,714.38/114,612.47
  6. Step 6: Final answer
    x = 553,702.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.