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Finding the Third Proportional to 157,804.13 and 324,897.75

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Solution

The third proportional to 157,804.13 and 324,897.75 is: 668,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,804.13 : 324,897.75 = 324,897.75 : x
  2. Step 2: Convert to fraction form
    157,804.13/324,897.75 = 324,897.75/x
  3. Step 3: Cross multiply
    157,804.13x = 324,897.75 × 324,897.75
  4. Step 4: Simplify right side
    157,804.13x = 105,558,547,955.06
  5. Step 5: Solve for x
    x = 105,558,547,955.06/157,804.13
  6. Step 6: Final answer
    x = 668,921.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.