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Finding the Third Proportional to 157,905 and 242,714.50

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Solution

The third proportional to 157,905 and 242,714.50 is: 373,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,905 : 242,714.50 = 242,714.50 : x
  2. Step 2: Convert to fraction form
    157,905/242,714.50 = 242,714.50/x
  3. Step 3: Cross multiply
    157,905x = 242,714.50 × 242,714.50
  4. Step 4: Simplify right side
    157,905x = 58,910,328,510.25
  5. Step 5: Solve for x
    x = 58,910,328,510.25/157,905
  6. Step 6: Final answer
    x = 373,074.50

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