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Finding the Third Proportional to 164,044 and 358,724

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Solution

The third proportional to 164,044 and 358,724 is: 784,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,044 : 358,724 = 358,724 : x
  2. Step 2: Convert to fraction form
    164,044/358,724 = 358,724/x
  3. Step 3: Cross multiply
    164,044x = 358,724 × 358,724
  4. Step 4: Simplify right side
    164,044x = 128,682,908,176
  5. Step 5: Solve for x
    x = 128,682,908,176/164,044
  6. Step 6: Final answer
    x = 784,441.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.