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Finding the Third Proportional to 164,844 and 316,557

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Solution

The third proportional to 164,844 and 316,557 is: 607,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,844 : 316,557 = 316,557 : x
  2. Step 2: Convert to fraction form
    164,844/316,557 = 316,557/x
  3. Step 3: Cross multiply
    164,844x = 316,557 × 316,557
  4. Step 4: Simplify right side
    164,844x = 100,208,334,249
  5. Step 5: Solve for x
    x = 100,208,334,249/164,844
  6. Step 6: Final answer
    x = 607,897.98

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.