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Finding the Third Proportional to 158,594.63 and 242,915.63

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Solution

The third proportional to 158,594.63 and 242,915.63 is: 372,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,594.63 : 242,915.63 = 242,915.63 : x
  2. Step 2: Convert to fraction form
    158,594.63/242,915.63 = 242,915.63/x
  3. Step 3: Cross multiply
    158,594.63x = 242,915.63 × 242,915.63
  4. Step 4: Simplify right side
    158,594.63x = 59,008,000,869.14
  5. Step 5: Solve for x
    x = 59,008,000,869.14/158,594.63
  6. Step 6: Final answer
    x = 372,068.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.