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Finding the Third Proportional to 116,473 and 249,557

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Solution

The third proportional to 116,473 and 249,557 is: 534,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,473 : 249,557 = 249,557 : x
  2. Step 2: Convert to fraction form
    116,473/249,557 = 249,557/x
  3. Step 3: Cross multiply
    116,473x = 249,557 × 249,557
  4. Step 4: Simplify right side
    116,473x = 62,278,696,249
  5. Step 5: Solve for x
    x = 62,278,696,249/116,473
  6. Step 6: Final answer
    x = 534,705.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.