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Finding the Third Proportional to 160,688 and 229,557

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Solution

The third proportional to 160,688 and 229,557 is: 327,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,688 : 229,557 = 229,557 : x
  2. Step 2: Convert to fraction form
    160,688/229,557 = 229,557/x
  3. Step 3: Cross multiply
    160,688x = 229,557 × 229,557
  4. Step 4: Simplify right side
    160,688x = 52,696,416,249
  5. Step 5: Solve for x
    x = 52,696,416,249/160,688
  6. Step 6: Final answer
    x = 327,942.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.