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Finding the Third Proportional to 157,915.06 and 242,971.84

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Solution

The third proportional to 157,915.06 and 242,971.84 is: 373,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,915.06 : 242,971.84 = 242,971.84 : x
  2. Step 2: Convert to fraction form
    157,915.06/242,971.84 = 242,971.84/x
  3. Step 3: Cross multiply
    157,915.06x = 242,971.84 × 242,971.84
  4. Step 4: Simplify right side
    157,915.06x = 59,035,316,855.27
  5. Step 5: Solve for x
    x = 59,035,316,855.27/157,915.06
  6. Step 6: Final answer
    x = 373,842.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.