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Finding the Third Proportional to 160,152 and 235,407

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Solution

The third proportional to 160,152 and 235,407 is: 346,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,152 : 235,407 = 235,407 : x
  2. Step 2: Convert to fraction form
    160,152/235,407 = 235,407/x
  3. Step 3: Cross multiply
    160,152x = 235,407 × 235,407
  4. Step 4: Simplify right side
    160,152x = 55,416,455,649
  5. Step 5: Solve for x
    x = 55,416,455,649/160,152
  6. Step 6: Final answer
    x = 346,024.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.