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Finding the Third Proportional to 145,584 and 316,808

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Solution

The third proportional to 145,584 and 316,808 is: 689,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,584 : 316,808 = 316,808 : x
  2. Step 2: Convert to fraction form
    145,584/316,808 = 316,808/x
  3. Step 3: Cross multiply
    145,584x = 316,808 × 316,808
  4. Step 4: Simplify right side
    145,584x = 100,367,308,864
  5. Step 5: Solve for x
    x = 100,367,308,864/145,584
  6. Step 6: Final answer
    x = 689,411.67

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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.