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Finding the Third Proportional to 144,528 and 312,592

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Solution

The third proportional to 144,528 and 312,592 is: 676,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,528 : 312,592 = 312,592 : x
  2. Step 2: Convert to fraction form
    144,528/312,592 = 312,592/x
  3. Step 3: Cross multiply
    144,528x = 312,592 × 312,592
  4. Step 4: Simplify right side
    144,528x = 97,713,758,464
  5. Step 5: Solve for x
    x = 97,713,758,464/144,528
  6. Step 6: Final answer
    x = 676,088.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.