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Finding the Third Proportional to 164,270 and 358,024

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Solution

The third proportional to 164,270 and 358,024 is: 780,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,270 : 358,024 = 358,024 : x
  2. Step 2: Convert to fraction form
    164,270/358,024 = 358,024/x
  3. Step 3: Cross multiply
    164,270x = 358,024 × 358,024
  4. Step 4: Simplify right side
    164,270x = 128,181,184,576
  5. Step 5: Solve for x
    x = 128,181,184,576/164,270
  6. Step 6: Final answer
    x = 780,307.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.