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Finding the Third Proportional to 160,495 and 346,688

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Solution

The third proportional to 160,495 and 346,688 is: 748,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,495 : 346,688 = 346,688 : x
  2. Step 2: Convert to fraction form
    160,495/346,688 = 346,688/x
  3. Step 3: Cross multiply
    160,495x = 346,688 × 346,688
  4. Step 4: Simplify right side
    160,495x = 120,192,569,344
  5. Step 5: Solve for x
    x = 120,192,569,344/160,495
  6. Step 6: Final answer
    x = 748,886.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.