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Finding the Third Proportional to 164,994 and 316,864.50

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Solution

The third proportional to 164,994 and 316,864.50 is: 608,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,994 : 316,864.50 = 316,864.50 : x
  2. Step 2: Convert to fraction form
    164,994/316,864.50 = 316,864.50/x
  3. Step 3: Cross multiply
    164,994x = 316,864.50 × 316,864.50
  4. Step 4: Simplify right side
    164,994x = 100,403,111,360.25
  5. Step 5: Solve for x
    x = 100,403,111,360.25/164,994
  6. Step 6: Final answer
    x = 608,525.83

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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.